Time and Work Quiz Set 020

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Question 1

A and B can complete a job in 36 and 36 days. They start together but A leaves after working for 24 days. How long would B take to finish the job counting from the day both A and B started together?

 A

12 days.

 B

13 days.

 C

11 days.

 D

15 days.

Soln.
Ans: a

If B takes x days. The total job is A's work in 4 days + B's work in x days = $24/36$ + $x/36$ = 1. Solving, we get x = 12 days.


Question 2

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 3

6 men and 4 women finish a job in 30 days. In how many days will 8 women and 12 men finish that job?

 A

15.

 B

14.

 C

16.

 D

17.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 15 days.


Question 4

A can harvest a field in 19 days. B can do the same work in 4 days. C can do the same work in 10 days. In how many days will they together harvest the field?

 A

$2{74/153}$ days.

 B

$3{74/153}$ days.

 C

$4{74/153}$ days.

 D

$5{74/153}$ days.

Soln.
Ans: a

Putting x = 19, y = 4 and z = 10 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${380/153}$, which is same as: $2{74/153}$.


Question 5

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 22 days less. In how many days does Mr. P finish that work?

 A

11.

 B

10.

 C

12.

 D

13.

Soln.
Ans: a

Let the time taken by P be x days. Then the time taken by Q is 3x. The difference is 3x - x. So, 2x = 22. Solving, x = 11.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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