Time and Work Quiz Set 001

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Question 1

A, B and C complete a work in 19, 14 and 7 days respectively. All three of them start the work together, but A leaves the work after 1 days. In how many days will the work be completed?

 A

$4{8/19}$ days.

 B

$5{8/19}$ days.

 C

$6{8/19}$ days.

 D

$7{8/19}$ 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 = 14, z = 7, n = 1, and simplifying, we get ${84/19}$, which is same as: $4{8/19}$.


Question 2

A can do a work in 8 days. B can destroy the work in 11 days. In how many days will they together complete the work?

 A

$29{1/3}$ days.

 B

$30{1/3}$ days.

 C

$31{1/3}$ days.

 D

$32{1/3}$ days.

Soln.
Ans: a

Putting x = 8 and y = 11 in the shortcut method, we get ${xy}/{y - x}$ = ${88/3}$, which is same as: $29{1/3}$.


Question 3

6 men and 4 women finish a job in 10 days. In how many days will 8 women and 12 men finish that job?

 A

5.

 B

4.

 C

6.

 D

7.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 5 days.


Question 4

A can harvest a field in 18 days. B can do the same work in 11 days. How much did A get if the farmer pays them a total amount of Rs. 7200 for a work that they together completed in 6 days?

 A

Rs. 2400.

 B

Rs. 2500.

 C

Rs. 2300.

 D

Rs. 2700.

Soln.
Ans: a

Work done by A in 1 day = $1/18$. So the work in 6 days = 6 × $1/18$. His share is Rs. 6 × $1/18$ × 7200 = Rs. 2400.


Question 5

Mr. X can finish a task in 7 days. Mr. Y can do the same work in 4 days. What is the ratio of the efficiencies of X : Y?

 A

${4/7}$.

 B

$1{4/7}$.

 C

${2/3}$.

 D

${5/8}$.

Soln.
Ans: a

The efficiency of X is $100/7$%, and the efficiency of Y is $100/4$%, so the ratio will be $4/7$


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This Blog Post/Article "Time and Work Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-22.

Posted by Parveen(Hoven),
Aptitude Trainer


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