Time and Work Quiz Set 014

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Question 1

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 26 days less. In how many days does Mr. P finish that work?

 A

13.

 B

12.

 C

14.

 D

15.

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 = 26. Solving, x = 13.


Question 2

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 12 days less. In how many days does Mr. P finish that work?

 A

6.

 B

5.

 C

7.

 D

8.

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 = 12. Solving, x = 6.


Question 3

A can do a work in 3 days. B can destroy the work in 14 days. In how many days will they together complete the work?

 A

$3{9/11}$ days.

 B

$4{9/11}$ days.

 C

$5{9/11}$ days.

 D

$6{9/11}$ days.

Soln.
Ans: a

Putting x = 3 and y = 14 in the shortcut method, we get ${xy}/{y - x}$ = ${42/11}$, which is same as: $3{9/11}$.


Question 4

A can do a piece of work in 14 days. B is 40% 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 $1/14$. If B is 40% efficient, then one day work of B is $1/14$ × $140/100$ = $1/10$. Which gives 10 days as the answer.


Question 5

A, B and C complete a work in 11, 16 and 18 days respectively. All three of them start the work together, but A leaves the work after 1 days, and B leaves the work after 6 days. In how many days will the work be completed?

 A

$9{27/44}$ days.

 B

$10{27/44}$ days.

 C

$11{27/44}$ days.

 D

$12{27/44}$ days.

Soln.
Ans: a

Use the shortcut formula. If A, B, C can independently complete the job in x, y and z days, and A leaves after n days, and B after m days, the work is completed in z × $(1 - n/x - m/y)$ days. Putting the various values x = 11, y = 16, z = 18, n = 1, m = 6, and simplifying, we get ${423/44}$, which is same as: $9{27/44}$.


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This Blog Post/Article "Time and Work Quiz Set 014" 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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