Time and Work Quiz Set 016

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Question 1

A, B and C can independently complete a work in 17, 18 and 4 days respectively. B and C start the work together, but A joins them after 2 days. In how many days will the work be completed?

 A

$3{15/223}$ days.

 B

$4{15/223}$ days.

 C

$5{15/223}$ days.

 D

$6{15/223}$ 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 joins after n days, the work is completed in ${xyz}/{xy + yz + zx}$ × $(1 + n/x)$ days. Putting the various values x = 17, y = 18, z = 4, n = 2, and simplifying, we get ${684/223}$, which is same as: $3{15/223}$.


Question 2

A and B can together complete a job in 16 days. A can alone complete it in 24 days. How long would B alone take to finish the job?

 A

48 days.

 B

49 days.

 C

47 days.

 D

51 days.

Soln.
Ans: a

One day work of A + B is $1/16$. One day work of A is $1/24$. So one day work of B, say, $1/y$ = $1/16$ - $1/24$. Solving, we get y = 48 days.


Question 3

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 4

A, B and C complete a work in 8, 18 and 19 days respectively. All three of them start the work together, but A leaves the work after 3 days. In how many days will the work be completed?

 A

$5{115/148}$ days.

 B

$6{115/148}$ days.

 C

$7{115/148}$ days.

 D

$8{115/148}$ 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, the work is completed in ${yz}/{y + z}$ × $(1 - n/x)$ days. Putting the various values x = 8, y = 18, z = 19, n = 3, and simplifying, we get ${855/148}$, which is same as: $5{115/148}$.


Question 5

A, B and C complete a work in 19, 9 and 11 days respectively. All three of them start the work together, but A leaves the work after 5 days. In how many days will the work be completed?

 A

$3{123/190}$ days.

 B

$4{123/190}$ days.

 C

$5{123/190}$ days.

 D

$6{123/190}$ 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, the work is completed in ${yz}/{y + z}$ × $(1 - n/x)$ days. Putting the various values x = 19, y = 9, z = 11, n = 5, and simplifying, we get ${693/190}$, which is same as: $3{123/190}$.


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This Blog Post/Article "Time and Work Quiz Set 016" 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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