Time and Work Questions

Multiple choice
  1. 30/13

  2. 30/11

  3. 11/13

  4. 31/13

  5. None of the above

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work done by X in 5 days = 5*1/10 = 1/2 Balance work to be done = 1 - 1/2 = 1/2 (X + Y) 's one day's work = 1/10 + 1/12 = 11/60 Number of days Y worked = 1/2 * 60/11 = 30/11 So, option (2) is correct.

Multiple choice
  1. 40 days

  2. 35 days

  3. 30 days

  4. 60 days

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Pradeep and Dipali's 1 day's work = 1/10 Dipali's 1 day's work = 1/12 Therefore, Pradeep's 1 day's work = 1/10 - 1/12 = 2/120 = 1/60 Number of days required to do the work by Pradeep = 60 days Hence, this option is correct.

Multiple choice
  1. 10 days

  2. 13 days

  3. 12 days

  4. Data inadequate

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

(Work done by both in one day = 1 รท 7.5 = 2/15 Work done by Salim in one day = 1/20. Therefore, work done by Akram in one day = 2/15 - 1/20 = 8 - 3/60 = 5/60 = 1/12. Hence Akram alone can do the work in 12 days.)

Multiple choice
  1. 4 : 1

  2. 2 : 7

  3. 8 : 3

  4. 7 : 2

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

(2 men + 3 boys can do a job in 5 days, so in one day-5 X (2 men + 3 boys) can do it in one day. Similarly, 4 X (3 men + 2 boys) can do it in one day. Therefore, 5 X (2 men + 3 boys) = 4 X (3 men + 2 boys)2 men = 7 boys. Hence, work ratio = 7 : 2)

Multiple choice
  1. 3rd

  2. 6th

  3. 9th

  4. 7th

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work rates: A=1/7, B=1/8, C=1/6. Cycle (3 days) = 1/7 + 1/8 + 1/6 = (24+21+28)/168 = 73/168. After 6 days (2 cycles) = 146/168. Remaining = 22/168. Day 7 (Anand) does 1/7 = 24/168. Since 24/168 > 22/168, work finishes on day 7.

Multiple choice
  1. 10 hours

  2. 5/12 days

  3. 5 hours

  4. 5/24 days

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Use unitary method ab = 12 = 5 unit out of lcm of time 60 bc =15 = -4ca = 20 = 32abc = 4abc = 2 So, a = 6b = -1c = -3 So, 10 hour = 5 /12 day This is correct.

Multiple choice
  1. A will get Rs. 288 extra.

  2. B will get Rs. 216 extra.

  3. A will get Rs. 72 extra.

  4. B gets Rs. 72 extra.

  5. Both A and B have the same amount.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio of efficiency = 4/3 So, the amount should be in this ratio. This answer is correct.

Multiple choice
  1. A will get Rs. 2024.

  2. B will get Rs. 1518.

  3. C will get Rs. 2530.

  4. All of them have the same amount.

  5. C will get Rs. 280.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The work efficiency 4 : 3 : 5, so the amount with C will be = 2530. This answer is correct.