Time and Work Practice Questions

5 questions per page • Detailed step-by-step solutions

Question 11
Easy
10 men can finish painting a wall in 8 days. How many more men will be needed if the painting work is to be finished in 4 days?
A 5
B 20
C 8
D 10
Correct Answer: D

Explanation:

10 × 8 = 80 man-days. In 4 days: 80/4 = 20 men → 10 more men needed.
Question 12
Easy
A and B together can do a piece of work in 6 days and A alone can do it in 9 days. In how many days B alone do it?
A 15 days
B 3 days
C 12 days
D 18 days
Correct Answer: D

Explanation:

B = 1/6 − 1/9 = (3 − 2)/18 = 1/18 → 18 days.
Question 13
Easy
6 carpenters make 96 windows in 16 days. If 8 carpenters work for 4 days how many windows will they make?
A 32
B 36
C 24
D 48
Correct Answer: A

Explanation:

Windows per carpenter-day = 96/(6 × 16) = 1. 8 carpenters × 4 days = 32 windows.
Question 14
Easy
Ayesha can complete a piece of work in 16 days. Amita can complete the same piece of work in 8 days. If both of them work together in how many days can they complete the same piece of work ?
A 5 1/3 days
B 12 days
C 6 days
D 4 days
Correct Answer: A

Explanation:

16 × 8/24 = 16/3 = 5 1/3 days.
Question 15
Easy
In a factory, 60 workers can stitch 120 m of clothes in 7 days, what length of clothes can be stiched by 70 workers in 5 days?
A 120 m
B 90 m
C 110 m
D 100 m
Correct Answer: D

Explanation:

Length ∝ workers × days: 120 × (70 × 5)/(60 × 7) = 120 × 350/420 = 100 m.