Quantitative Aptitude

Time, Speed and Distance

2,165 Questions
All Core formulas and unit conversion 441 Boats and streams effective speed 396 Relative speed, meetings, and overtaking 375 Average speed 362 Early and late arrival 321 Proportional relationships 202 Stoppage time per hour 35 Train and stationary or moving object crossing 17 Races and dead heats 16

Time, Speed and Distance Questions

Multiple choice

A 100 m long train is running at a speed of 86 km/hr towards another train, which is running at a speed of 64 km/hr. If the trains are 875 m apart, in how much time will they meet while running in opposite directions?

  1. 6 sec.

  2. 15 sec.

  3. 21 sec.

  4. 40 sec.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Trains running in opposite directions have relative speed = 86 + 64 = 150 km/hr = 150 × (5/18) = 41 2/3 m/s. Distance = 875 m. Time = 875 ÷ (125/3) = 875 × 3/125 = 21 seconds. Alternatively: 150 km/hr = 150000 m/3600 s = 125/3 m/s, so time = 875/(125/3) = 21s.

Multiple choice

A person covers a certain distance in 162 minutes, he covers 1/6 part of the distance at 25 km / h, ¾ part at 30 km / h and the remaining part at a speed of 40 km / h. What distance did the person travel? एक व्यक्ति किसी निश्चित दूरी को 162 मिनट में तय करता है, वह दूरी का 1/6 भाग 25 किमी/घंटा की चाल से, ¾ भाग 30 किमी/घंटा की चाल से और शेष भाग 40 किमी/घंटा की चाल से तय करता है | व्यक्ति ने कितनी दूरी तय की?

  1. 60

  2. 70

  3. 80

  4. 90

  5. None of these इनमे से कोई नही|
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Convert 162 minutes to 2.7 hours. Let total distance be d. Time for first part: (d/6)/25 = d/150 hours. Time for second part: (3d/4)/30 = d/40 hours. Time for remaining part (d/12)/40 = d/200 hours. Total: d/150 + d/40 + d/200 = 2.7. Solving gives d = 80 km.

Multiple choice

A person sitting on train and counts 21 poles in a minute. If distance between each pole is 50m, then what is the speed of the train. ट्रेन में बैठा एक आदमी एक मिनट में 21 टेलीफोन के खम्बे गिन सकता है। यदि ये खम्बे 50 मीटर की दूरी पर है, तो ट्रेन की चाल क्या होगी ?

  1. 55 km/hour 55 किमी./घण्टा

  2. 57 km/hour 57 किमी./घण्टा

  3. 63 km/hour 63 किमी./घण्टा

  4. 60 km/hour 60 किमी./घण्टा

  5. None of these इनमें से कोई नही
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If 21 poles are counted in 1 minute, the train passes 20 gaps between poles (since counting starts at the first pole). Distance covered = 20×50m = 1000m in 60 seconds. Speed = 1000/60 = 16.67 m/s = 16.67×18/5 = 60 km/h. Option D (60 km/h) is correct.

Multiple choice

A man reduces his speed from 20 km/h to 18 km/h. So, he takes 10 minutes more than the normal time. What is the distance travelled by him? एक आदमी अपनी गति 20 किमी / घंटा से 18 किमी / घंटा कर देता है। तो, वह सामान्य समय से 10 मिनट अधिक लेता है।उसके द्वारा तय की गई दूरी क्या है?

  1. 28 km 28 किमी.

  2. 30 km 30 किमी.

  3. 33 km 33 किमी.

  4. 37 km 37 किमी.

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be d km. At 20 km/h, time = d/20 hours. At 18 km/h, time = d/18 hours. Difference in time = d/18 - d/20 = 10 minutes = 10/60 = 1/6 hour. Solving: d(1/18 - 1/20) = 1/6, so d(1/180) = 1/6, therefore d = 180/6 = 30 km.

Multiple choice

A truck covers a distance of 1100 metres in 2 minute whereas a bus covers a distance of 66 kms in 90 minutes. The ratio of their speeds is: एक ट्रक 2 मिनट में 1100 मीटर की दूरी तय करता है जबकि एक बस 90 मिनट में 66 किलोमीटर की दूरी तय करती है। उनकी गति का अनुपात है:

  1. 2:3

  2. 3:2

  3. 3:4

  4. 4:3

  5. None of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Truck speed: 1100 m in 2 min = 1100×60/(2×1000) = 33 km/h. Bus speed: 66 km in 90 min = 66/(90/60) = 66/1.5 = 44 km/h. Ratio of speeds = 33:44 = 3:4 (truck:bus).

Multiple choice

The speed of a boat in still water is 50 km/hr. It covers a distance of 500 km upstream in 20 hours. What is the speed (in km/hr) of the stream?

  1. 20

  2. 25

  3. 45

  4. 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Boat speed in still water = 50 km/hr. Upstream speed = 500/20 = 25 km/hr. Let stream speed = s. Upstream speed = boat speed - stream speed, so 25 = 50 - s, giving s = 25 km/hr. This confirms option B. Stream speed is the difference between still water speed and upstream speed.

Multiple choice

A man can row a distance of 30 km downstream and return in a total of 8 hours. If the speed of the boat in still water is four times the speed of the current, find the speed of the boat against the current (in kmph). एक आदमी अनुप्रवाह 30 किमी. की दूरी तक नाव चला सकता है और कुल 8 घंटे में वापस आ सकता है । यदि स्थिर जल में नाव की गति धारा की गति की चार गुना है, तो नाव की गति ऊर्ध्वप्रवाह में (किमी. प्रति घंटे में) ज्ञात कीजिये ।

  1. 8

  2. 10

  3. 6

  4. 2

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let current speed = x kmph. Boat speed in still water = 4x. Downstream speed = 5x, upstream = 3x. Total time: 30/(5x) + 30/(3x) = 8. So 6/x + 10/x = 8, thus 16/x = 8, x = 2. Speed against current = 3x = 6 kmph.

Multiple choice

Basant covered a distance of 48 km, two hours faster than he had planned to. This he achieved by travelling 1 km more every hour than he intended to cover in every 1 hour 15 minutes. What the speed at which Basant is travelling ? बसन्त ने 48 किमी की दूरी को पूर्व योजना से दो घंटे जल्दी तय किया। यह उसने पूर्व में 1 घंटे 15 मिनट में तय की गयी दूरी से वर्तमान में प्रत्येक 1 घंटे में 1 किमी अधिक यात्रा करके प्राप्त किया। बसन्त किस गति से यात्रा कर रहा है?

  1. 8 km/hr. 8 किमी/घंटा

  2. 12 km/hr. 12 किमी/घंटा

  3. 9 km/hr. 9 किमी/घंटा

  4. 10.5 km/hr. 10.5 किमी/घंटा

  5. 7.5 km/hr. 7.5 किमी/घंटा
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let planned speed = v km/hr covering 48 km. Planned time = 48/v hours. Actual time = 48/v - 2. Planned distance per 1 hr 15 min (1.25 hrs) = 1.25v km. Actual covers 1.25v + 1 km per hour. Actual speed = (1.25v + 1)/1 = 1.25v + 1 km/hr. Also actual speed = 48/(48/v - 2). Equating and solving gives v = 10 km/hr (planned), actual = 12 km/hr.

Multiple choice

A boat takes double of time taken by it to go downstream while coming in upstream. If speed of water is 3 km/hr. find the speed of boat?

  1. 9 km/hr

  2. 32 km/hr

  3. 8 km/hr

  4. 40 km/hr
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let boat speed = b, water speed = 3 km/hr. Downstream speed = b + 3, upstream speed = b - 3. Given: upstream time = 2 × downstream time. If distance = d, then d/(b-3) = 2d/(b+3). Solving: b + 3 = 2(b - 3), so b + 3 = 2b - 6, giving b = 9 km/hr. Option A is correct.

Multiple choice

A man starts from Jammu and reaches Bhopal in 38 hours. He travels ⅓ of the distance at 12 km/hr and the remaining distance at 14 km/hr find the distance between Jammu and Bhopal? एक आदमी जम्मू से यात्रा शुरू करता है और भोपाल 38 घंटों में पहुंचाता है। वह 1/3 दूरी 12 किमी / घंटा से यात्रा करता है और शेष दूरी 14 किमी / घंटा से तो जम्मू और भोपाल के बीच की दूरी बताओ?

  1. 504 km/किमी

  2. 182 km /किमी

  3. 252 km /किमी

  4. 302 km /किमी

  5. None of these /इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total distance = D. Time for 1/3 distance: (D/3)/12 = D/36 hours. Time for 2/3 distance: (2D/3)/14 = 2D/42 = D/21 hours. Total time = D/36 + D/21 = 38 hours. LCM of 36 and 21 is 252. Solving: D(7 + 12)/252 = 38 → 19D/252 = 38 → D = 38 × 252/19 = 2 × 252 = 504 km. Option A is correct.

Multiple choice

The speed of a boat in still water is 24 km/hr and the speed of the stream is 8 km/hr. It takes a total 20 hours to row upstream from point X to Point Y and downstream from Point Y to Point Z. If the distance between X to Y is one third of the distance between Y and Z. What is the total distance travelled by the boat (both upstream and downstream)?

  1. 456 km

  2. 424 km

  3. 512 km

  4. 578 km

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Boat speed in still water = 24 km/hr, stream speed = 8 km/hr. Upstream speed = 24 - 8 = 16 km/hr. Downstream speed = 24 + 8 = 32 km/hr. Let XY = d, then YZ = 3d. Time upstream: d/16 hours. Time downstream: 3d/32 hours. Total time: d/16 + 3d/32 = 20 hours. Solving: 2d/32 + 3d/32 = 5d/32 = 20, so d = 128 km. Total distance = d + 3d = 4d = 512 km. Claimed answer correct.

Multiple choice

If a boat travels 18 km more in downstream than in upstream in 3 hr. and if the speed of the Boat in still water is 20 km/hr. find the distance travelled by boat in downstream in 4 hr. ? अगर एक नाव 3 घंटे में उर्ध्व प्रवाह की तुलना में अनु प्रवाह में 18 किमी अधिक यात्रा करती है और यदि अभी भी पानी में नाव की गति 20 किमी / घंटा है। 4 घंटे में अनु प्रवाह में नाव द्वारा तय की गई दूरी ज्ञात करें?

  1. 86

  2. 92

  3. 68

  4. 96

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let stream speed be u km/hr. Downstream speed = 20+u, upstream speed = 20-u. Downstream distance in 3hr = 3(20+u) = 60+3u. Upstream distance in 3hr = 3(20-u) = 60-3u. Given: (60+3u) - (60-3u) = 18, so 6u = 18, giving u = 3 km/hr. Downstream speed = 23 km/hr. Distance in 4hr downstream = 4 × 23 = 92 km.

Multiple choice

If A start from P with speed 60 km/hr at 8:00 am and B starts with speed 70 km/hr. at 8 : 30 am from Q and total distance between P and Q is 680 km, find at what time they will cross each other? यदि A, P से 60 किमी / घंटा की गति से सुबह 8:00 बजे शुरू होता है और B सुबह 8: 30 बजे Q से 70 किमी / घंटा की गति से शुरू होता है। P और Q के बीच की कुल दूरी 680 किमी है, यह पता करें कि वे एक दूसरे को किस समय पार करेंगे ?

  1. 2:30 pm

  2. 1:30 pm

  3. 12:30 pm

  4. 3:00 pm

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A starts at 8:00 am at 60 km/hr. By 8:30 am, A covers 30 km. B starts at 8:30 am at 70 km/hr. Remaining distance = 680 - 30 = 650 km. Relative speed (toward each other) = 60 + 70 = 130 km/hr. Time to meet after 8:30 am = 650/130 = 5 hours. Meeting time = 8:30 am + 5 hours = 1:30 pm.

Multiple choice

If the speed of a boat in still water is 14 km/hr and speed of the stream is half the speed of the boat in still water, find the total time taken to cover a distance of 147 km upstream and the same distance back ? यदि स्थिर जल में एक नाव की गति 14 किमी / घंटा है और धारा की गति स्थिर जल में नाव की गति से आधी है, तो कुल 147 किमी की दूरी और उसी दूरी की दूरी तय करने में लगने वाला कुल समय ज्ञात कीजिए?

  1. None of these / इनमे से कोई नही

  2. 26 hours /घंटे

  3. 28 hours /घंटे

  4. 21 hours /घंटे

  5. 35 hours /घंटे
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Boat speed in still water = 14 km/hr. Stream speed = 14/2 = 7 km/hr. Upstream speed = 14 - 7 = 7 km/hr. Downstream speed = 14 + 7 = 21 km/hr. Time upstream = 147/7 = 21 hours. Time downstream = 147/21 = 7 hours. Total time = 21 + 7 = 28 hours.

Multiple choice

If Rohit walk 20 km. at 5 km/hr. and he will be late by 40 min .If he walks at 8 km per hr. Then how early from the fixed time will he reach? यदि रोहित 20 किमी. की दूरी 5किमी./घं. की चाल से चलता है तो 40 मिनट की देरी से पहुंचता है यदि वह 8 किमी./घं की चाल से चलता है तो वह निश्चित समय से कितने पहले पहुंचेगा?

  1. 55min. 55 मिनट

  2. 50min. 50 मिनट

  3. 45min. 45 मिनट

  4. 20min. 20 मिनट

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

At 5 km/hr, time to cover 20 km = 20/5 = 4 hours. Rohit is 40 minutes late, so scheduled time = 4 hours - 40 minutes = 3 hours 20 minutes = 200 minutes. At 8 km/hr, actual time = 20/8 = 2.5 hours = 150 minutes. Early arrival = 200 - 150 = 50 minutes.