Time and Work Quiz Set 013

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Question 1

A and B can complete a job in 22 and 88 days. They start together but A leaves after working for 8 days. How long would B take to finish the job counting from the day both A and B started together?

 A

56 days.

 B

57 days.

 C

55 days.

 D

59 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 = $8/22$ + $x/88$ = 1. Solving, we get x = 56 days.


Question 2

A can finish a work in 10 days. B can do the same work in 5 days. They work together for 3 days. The fraction of work that is left is?

 A

${1/10}$.

 B

$1{1/10}$.

 C

${1/9}$.

 D

${2/11}$.

Soln.
Ans: a

They together finish $1/10 + 1/5$ work in a day. In 3 days they finish 3 × $(1/10 + 1/5)$ work, which is $45/50$. So the un-finished work is 1 - $45/50$ = ${1/10}$.


Question 3

A can harvest a field in 5 days. B can do the same work in 6 days. C can do the same work in 18 days. How much did A get if the farmer pays them a total amount of Rs. 2500 for a work that they together completed in 4 days?

 A

Rs. 2000.

 B

Rs. 2100.

 C

Rs. 1900.

 D

Rs. 2300.

Soln.
Ans: a

Work done by A in 1 day = $1/5$. So the work in 4 days = 4 × $1/5$. His share is Rs. 4 × $1/5$ × 2500 = Rs. 2000.


Question 4

A new tub can be filled by a tap in 9 minutes. But the tub is worn out, and there is a leakage that can empty the tub in 18 minutes. In how many minutes will the tap be able to fill the tub?

 A

18 mins.

 B

19 mins.

 C

20 mins.

 D

21 mins.

Soln.
Ans: a

Putting x = 9 and y = 18 in the shortcut method, we get ${xy}/{y - x}$ = 18.


Question 5

A can harvest a field in 5 days. B can do the same work in 14 days. C can do the same work in 3 days. In how many days will they together harvest the field?

 A

$1{83/127}$ days.

 B

$2{83/127}$ days.

 C

$3{83/127}$ days.

 D

$4{83/127}$ days.

Soln.
Ans: a

Putting x = 5, y = 14 and z = 3 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${210/127}$, which is same as: $1{83/127}$.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 013" 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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