Time and Work Quiz Set 007

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Question 1

If 30 men can do a task in 54 days if they work 12 hours per day, how many men are required to complete the task in 10 days if they work 9 hours?

 A

216.

 B

217.

 C

215.

 D

219.

Soln.
Ans: a

If m1 men can do a task in d1 days by working h1 hours per day, and m2 in d2 days by working h2 hours per day, then we must have m1 × d1 × h1 = m2 × d2 × h2. Putting m1 = 30, d1 = 54, h1 = 12, d2 = 10, and h2 = 9 we get m2 = 216.


Question 2

If 56 men can do a task in 16 days, how many men are required to complete the task in 7 days?

 A

128.

 B

8.

 C

6.

 D

10.

Soln.
Ans: a

If m1 men can do a task in d1 days, and m2 in d2, then we must have m1 × d1 = m2 × d2. Putting m1 = 56, d1 = 16 and d2 = 7, we get m2 = 128.


Question 3

A can do a piece of work in 11 days. B is 10% more efficient than A. In how many days can B complete that work?

 A

10 days.

 B

11 days.

 C

9 days.

 D

12 days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/11$. If B is 10% efficient, then one day work of B is $1/11$ × $110/100$ = $1/10$. Which gives 10 days as the answer.


Question 4

A and B can together complete a job in 49 days. A can alone complete it in 56 days. How long would B alone take to finish the job?

 A

392 days.

 B

393 days.

 C

391 days.

 D

395 days.

Soln.
Ans: a

One day work of A + B is $1/49$. One day work of A is $1/56$. So one day work of B, say, $1/y$ = $1/49$ - $1/56$. Solving, we get y = 392 days.


Question 5

A can harvest a field in 10 days. B can do the same work in 7 days. How much did A get if the farmer pays them a total amount of Rs. 7000 for a work that they together completed in 2 days?

 A

Rs. 1400.

 B

Rs. 1500.

 C

Rs. 1300.

 D

Rs. 1700.

Soln.
Ans: a

Work done by A in 1 day = $1/10$. So the work in 2 days = 2 × $1/10$. His share is Rs. 2 × $1/10$ × 7000 = Rs. 1400.


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This Blog Post/Article "Time and Work Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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