Time and Work Quiz Set 012

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Question 1

If 45 men can do a task in 32 days if they work 17 hours per day, how many men are required to complete the task in 15 days if they work 4 hours?

 A

408.

 B

409.

 C

407.

 D

411.

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 = 45, d1 = 32, h1 = 17, d2 = 15, and h2 = 4 we get m2 = 408.


Question 2

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 3

If 80 men can do a task in 16 days, how many men are required to complete the task in 10 days?

 A

10.

 B

11.

 C

9.

 D

13.

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 = 80, d1 = 16 and d2 = 10, we get m2 = 128.


Question 4

Mr. X can finish a task in 15 days. Mr. Y can do the same work in 17 days. What is the ratio of the efficiencies of X : Y?

 A

$1{2/15}$.

 B

$2{2/15}$.

 C

$1{3/14}$.

 D

$1{1/8}$.

Soln.
Ans: a

The efficiency of X is $100/15$%, and the efficiency of Y is $100/17$%, so the ratio will be $17/15$


Question 5

A can harvest a field in 6 days. B can do the same work in 12 days. How much did A get if the farmer pays them a total amount of Rs. 3000 for a work that they together completed in 3 days?

 A

Rs. 1500.

 B

Rs. 1600.

 C

Rs. 1400.

 D

Rs. 1800.

Soln.
Ans: a

Work done by A in 1 day = $1/6$. So the work in 3 days = 3 × $1/6$. His share is Rs. 3 × $1/6$ × 3000 = Rs. 1500.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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