Quantitative Aptitude

Time and Work

2,195 Questions
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Time and Work Questions

Multiple choice

B and C takes 5 times than A to complete a piece of work. If three together do that work in 15 days, then in how many days A, alone will do that work./B तथा C किसी काम को करने में A का 5 गुना समय लेता है, यदि तीनों मिलकर उस काम को 15 दिनों में समाप्त करते हैं, तो A अकेला उसी काम को कितने दिनों में समाप्त करेगा ?

  1. 18 days/दिन

  2. 20 days/दिन

  3. 25 days/दिन

  4. 90 days/दिन
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A alone take x days. Then B and C each take 5x days (since they take 5 times A's time). Combined rate: 1/x + 1/(5x) + 1/(5x) = 1/x + 2/(5x) = 7/(5x). Time together = 5x/7 = 15 days. Solving: x = 21 days. However, this doesn't match the options. Let's re-interpret: if B and C together take 5 times A (i.e., their combined time is 5x), then A's rate + combined rate of B&C = 1/x + 1/(5x) = 6/(5x) = 1/15, giving x = 18 days. Option D (90 days) would be correct if only B or only C worked, not all three together.

Multiple choice

3 women and 18 children together take 2 days to complete a piece of work. How many days will a children alone take to complete the piece of work if 6 women alone can complete the piece of work in 3 days? 3 महिला और 18 बच्चे एक साथ, एक काम को 2 दिनों में समाप्त कर लेते है। 9 बच्चे अकेले काम को समाप्त करने में कितने दिन लेगे, यदि 6 महिलायें अकेले काम को 3 दिनों में समाप्त कर देती है?

  1. 9

  2. 7

  3. 6

  4. 5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

6 women do work in 3 days, so 1 woman takes 18 days. 3 women + 18 children take 2 days. Work rate: 3/18 + 18/(child's rate) = 1/2. So 1/6 + 18/c = 1/2, giving 18/c = 1/3, so c = 54. One child takes 54 days. 9 children together take 54/9 = 6 days. Option C is correct. Options A, B, D are incorrect calculations.

Multiple choice

A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the work. Then C alone finishes the remaining work in 10 days. In how many days will C finish the full work? A एक कार्य 20 दिनों में और B उसे 30 दिनों में कर सकता है। वे दोनों एक-साथ मिलकर 7 दिन कार्य करते हैं। तत्पश्चात् दोनों उसे छोड़ देते हैं। तब C अकेला शेष कार्य 10 दिनों में पूरा कर देता है। तदनुसार, C अकेला पूरा कार्य कितने दिनों में समाप्त कर सकता था?

  1. 25 days/दिन

  2. 30 days/दिन

  3. 24 days/दिन

  4. 20 days/दिन
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A's rate = 1/20, B's rate = 1/30. Combined rate = 5/60 = 1/12. In 7 days, they complete 7/12 of the work. Remaining = 5/12. C completes 5/12 in 10 days, so C's rate = 5/120 = 1/24. Therefore, C alone completes full work in 24 days.

Multiple choice

If 6 persons working 8 hours a day earned Rs. 8400per week then 9 persons working 6 hours a day will be. यदि 6 व्यक्ति 8 घंटे प्रतिदिन काम करके प्रति सप्ताह 8400 रू. कमाते है तो 9 व्यक्ति 6 घंटे प्रतिदिन काम करके एक दिन में कमायेगा।

  1. Rs. 1350

  2. Rs. 2150

  3. Rs. 1950

  4. Rs. 1750
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Weekly earning Rs. 8400/7 = Rs. 1200/day for 48 person-hours (6×8). For 54 person-hours (9×6): earning = 1200 × 54/48 = Rs. 1350/day.

Multiple choice

B takes 12 more days than A to finish a piece of work. B and A starts this work and A leaves the work 12 days before the work is finished. B complete 60% of the overall work. How long would B have taken to finish the work if he had worked independently?

  1. 48

  2. 36

  3. 28

  4. 32

  5. 40
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

B completed 60% of work alone, so A did 40%. B worked for entire duration, A worked for 12 days less. If B takes b days alone, his rate is 1/b. A completed 40% in 12 days, so A takes 30 days. Given B takes 12 more days than A, b = 36.

Multiple choice

A, B and C took a work for ₹13,200 . If A can do half of the work in 2/3 time taken by B and thrice the work in the time taken by C. If together they can finish the work in 2 days. Find the share of A (in Rs.)? A, B और C किसी कार्य के लिए ₹13,200 निश्चित करते हैं | यदि A आधा कार्य B के 2/3 समय में पूरा करता हैं , जबकि C द्वारा लिए गए समय में 3 गुना कार्य करता हैं | यदि यह तीनो मिलकर कार्य 2 दिन में समाप्त कर सकते हैं , तो A की प्राप्त राशि ज्ञात कीजिये (रु.में) |

  1. ₹ 2200

  2. ₹ 4400

  3. ₹ 6600

  4. ₹ 8800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's time = 3t, then B's time = 2t (A does half work in 2/3 of B's time). A's work in 2 days: 2/(3t), C's work: 2/40 = 1/20. Given A does thrice work of C in same time: 3×(1/20) = 2/(3t) gives t = 10/9. Work rates: A = 3/40, B = 2/45, C = 1/40. Total rate = 53/360. Ratio of work A:B:C = 3:2:1. A's share = (3/6) × 13,200 = ₹6,600.

Multiple choice

A can do a certain piece of work in the same time in which B and C together can do it. If A and B together could do it in 15 days and C alone in 40 days . then B alone could do the same work in how many days? A किसी काम को जितने समय में करता है उतने ही समय में B व C भी साथ मिलकर करते है A तथा B किसी कार्य को 15 दिन में करते है और C अकेला 40 दिनों में करता है तो B अकेला कितने दिनों में काम समाप्त करेगा ?

  1. 24

  2. 36

  3. 42

  4. 48
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A, B, C take a, b, c days respectively. A = B + C combined work, so 1/a = 1/b + 1/c. A + B together: 1/a + 1/b = 1/15. C alone: 1/c = 1/40. Substituting: 1/a + 1/b = 1/15 and 1/a = 1/b + 1/40. From second: 1/a - 1/b = 1/40. Adding with first: 2/a = 1/15 + 1/40 = 11/120, so a = 240/11. Then 1/b = 1/15 - 11/240 = 5/240 = 1/48, so b = 48 days.

Multiple choice

A certain number of men can do a piece of work in 40 day. If there were 45 men more the work could have been finished in 25 days. Find the original number of men employed in the work. कुछ व्यक्ति एक कार्य को 40 दिनों पूरा कर सकते हैं। यदि 45 व्यक्ति और होते तो वह कार्य 25 दिनों में पूरा हो सकता था। उस कार्य पर आंरभ में लगाए गए व्यक्तियों की संख्या ज्ञात करें।

  1. 70

  2. 85

  3. 65

  4. 75
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the original number of men be x. Total work = x × 40 man-days. With 45 additional men: (x+45) × 25 = x × 40. Solving: 25x + 1125 = 40x, so 15x = 1125, giving x = 75 men.

Multiple choice

A man, a woman and a boy can do a work in 3 days, 4 days and 12 days respectively. How many boys should help a man and a woman to do the same piece of work in ¼ day? एक पुरूष, एक महिला और एक लड़का एक कार्य को क्रमशः 3 दिन, 4 दिन और 12 दिनों में पूरा कर सकते है । कितने लड़कों की सहायता से एक पुरूष और एक महिला उसी काम को ¼ दिन में पूरा करेगें?

  1. 37

  2. 40

  3. 41

  4. 47
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In 1/4 day, a man completes 1/12 of the work and a woman completes 1/16. Together they do 7/48 of the work. The remaining 41/48 must be done by boys. Each boy does 1/48 of the work in 1/4 day. So we need 41 boys. Options A, B, and D underestimate the work required.

Multiple choice

10 children can complete a piece of work in 240 days .18 Men can complete the same piece of work in 72 days. And 15 women can complete it in 180 days. In how many days can 9 Men,30 women and 10 children together complete the piece of work? 10 बच्चे किसी कार्य को 240 दिन में पूरा कर सकते है। 18 आदमी उसी कार्य को 72 दिन में 15 औरतें 180 दिन मे पूरा कर सकती है। यदि 9 आदमी 30 औरतें और 10 बच्चे साथ-साथ इस कार्य को कितने दिनों में कर लेगें?

  1. 60

  2. 62

  3. 45

  4. 66
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First calculate the total work in terms of each group's capacity: 10 children × 240 days = 2400 child-days of work; 18 men × 72 days = 1296 man-days; 15 women × 180 days = 2700 woman-days. The per-day rate for one child is 1/2400, one man is 1/1296, one woman is 1/2700. The combined rate of 9 men + 30 women + 10 children = 9/1296 + 30/2700 + 10/2400. Simplifying: 9/1296 = 1/144 ≈ 0.00694; 30/2700 = 1/90 ≈ 0.01111; 10/2400 = 1/240 ≈ 0.00417. Sum = 0.02222 work per day. Days = 1 ÷ 0.02222 = 45 days.

Multiple choice

A and B can together finish a work in 60 days. They worked together at it for 40 days and then B left. The remaining work was done by A alone in 20 more days. A alone can finish the work in - A तथा B एक साथ मिलकर एक कार्य 60 दिनों में पूरा कर सकते है। उन्होंने वह कार्य 40 दिनों तक किया, उसके बाद B कार्य छोड़ कर चला गया। तब शेष कार्य को A ने अकेले, 20 दिन अधिक लगाकर पूरा किया। तद्नुसार A अकेला पूरा कार्य कितने दिनों में कर सकता था?

  1. 40 days/दिनों

  2. 60 days/दिनों

  3. 75 days/दिनों

  4. 80 days/दिनों
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A's rate = a, B's rate = b. Combined: a + b = 1/60. In 40 days, they complete 40/60 = 2/3 of work. Remaining work = 1/3, done by A in 20 days. So A's rate a = (1/3)/20 = 1/60. Therefore A alone takes 60 days.

Multiple choice

To complete a work A takes 50% more time than B .If together they take 18 days to complete the work how much time shall B take to do it? एक काम को पूरा करने में A, B से 50% अधिक समय लेता है। यदि वे एक साथ मिलकर काम को 18 दिनों में पूरा करते है, तो B इसको करने में कितना समय लेगा?

  1. 30 days/ दिन

  2. 35 days/ दिन

  3. 40 days/ दिन

  4. 45 days/ दिन
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If A takes 50% more time than B, let B take x days, then A takes 1.5x days. Their rates: B = 1/x work per day, A = 1/(1.5x) = 2/(3x) work per day. Combined rate = 1/x + 2/(3x) = 5/(3x). Together they take 18 days, so 5/(3x) = 1/18, giving x = 30 days for B alone.

Multiple choice

A and B together can complete a work in 12 days, A alone can complete it in 20 days. If B now does the work only for half a day daily, then the number of days required to complete the work by A and B together is- A और B मिलकर एक कार्य को 12 दिन में पूरा कर सकते हैं। A अकेले उसे 20 दिन में पूरा कर सकता है। अब यदि B प्रतिदिन केवल आधे दिन कार्य करता है, तो A और B को मिलकर कार्य पूरा करने में कितने दिन लगेंगे?

  1. 18

  2. 15

  3. 14

  4. 16
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A+B's combined rate: 1/12 work/day. A's rate: 1/20 work/day. So B's rate: 1/12 - 1/20 = 1/30 work/day. When B works half-days, effective rate = 1/20 + (1/2)(1/30) = 1/20 + 1/60 = 4/60 = 1/15 work/day. Time needed: 15 days. Option A (18 days) overestimates. Options C, D are incorrect.

Multiple choice

A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole wok will be finished in time is : एक व्यक्ति एक कार्य 150 दिनों में पूरा करने के लिए लेता है। उसमें वह 200 व्यक्ति नियुक्त करता है। उसे पता चलता है कि 50 दिनों में केवल एक-चौथाई काम पूरा हुआ है। तदनुसार वह कार्य निश्चित समय पर पूरा करने के लिए, उसे कितने व्यक्ति अतिरिक्त नियुक्त करने होंगे?

  1. 100

  2. 125

  3. 50

  4. 75
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Work rate calculation: 200 men complete 1/4 work in 50 days. Remaining work = 3/4 in 100 days. Let M be total men needed. Work done = M × 100 days. For 3/4 work: M × 100 = 3/4 × 200 × 200 (from initial rate). This gives M = 300, so 100 additional men are needed. Alternatively: Work = 200 × 50 / 0.25 = 40000 man-days. Remaining = 30000 in 100 days, requiring 300 men.

Multiple choice

A can do a piece of work in 12 days B is 50% more efficient than A. In how many days B will finish the same work? A किसी कार्य को 12 दिनों में कर सकता है, यदि B की कार्य क्षमता A से 50% अधिक है, तो B अकेला इस कार्य को कितने दिनों में समाप्त कर देगा?

  1. 12

  2. 8

  3. 6

  4. 18
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If A completes work in 12 days, and B is 50% more efficient, then B's efficiency is 1.5 times A's efficiency. This means B takes 12 / 1.5 = 8 days to complete the same work.