Crack Competitive Exams in India: Time and Work Aptitude Questions for Success. Master time and work concepts with challenging aptitude questions tailored for SSC, Banking, Railway, and other competitive exams in India. Boost your preparation with these practice questions and excel in your dream career.

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Time & Work Aptitude Questions Practice Test-1

20 MCQs 20 Marks 30 Minutes

2 / 20

A and B working together; can do a piece of work in 4.5 hours. B and C working together can do it in 3 hours. C and A working together can do it in 2.25 hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.

Explanation:

(A + b)’s 1 hour’s work = 2/9.....(i)
(B + c)’s 1 hour’s work = 1/3......(ii)
(C + a)’s 1 hour’s work = 4/9.....(iii)
Adding all three equations,
2 (A + B + c)’s 1 hour’s work = 2/9+1/3+4/9 = 1
A, B and C together will complete the work in 2 hours.

4 / 20

If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work ?

Explanation:

(A + b)’s 1 day’s work = 1/15
B’s 1 day’s work = 1/20
A’s 1 day’s work = 1/15-1/20 = 1/60
A alone will do the work in 60 days.

6 / 20

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

Explanation:

(B + c)'s 1 day's work =1/9+1/12= 7/36
Work done by B and C in 3 days = 7/36 x 3 = 7/12
Remaining work = 1 - 7/12 = 5/12
Now, 1/12 work is done by A in 1 day. So, 5/12 work is done by A in 24 x (5/12) = 10 days.

17 / 20

If it takes 6 hours for a pump to fill a swimming pool, and it takes 4 hours for another pump to empty the same pool, how long will it take both pumps, working simultaneously, to fill the pool?

Explanation:

The first pump's filling rate is 1/6 pool per hour, and the second pump's emptying rate is 1/4 pool per hour.
When both pumps work together, their combined rate is (1/6 - 1/4) pool per hour, which is (2/12 - 3/12) pool per hour, or -1/12 pool per hour (negative because one is emptying).
To fill the pool, it will take 12 hours. However, since both pumps are working together, the effective rate is filling,
so it will take 12/(-1/12) = 4 hours to fill the pool.

20 / 20

If Alice can complete a job in 8 hours and Bob can complete the same job in 6 hours, how long will it take them to complete the job working together?

Explanation:

Alice's work rate is 1/8 job per hour, and Bob's work rate is 1/6 job per hour. When they work together, their combined work rate is (1/8 + 1/6) job per hour, which is equal to 7/24 job per hour. To complete the job, they will take 24/7 hours, which is approximately 3.43 hours.

Topics/Syllabus covered in this Chapter’s Mock Test Series

Time and Work Aptitude Questions
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