Time and Work Quiz Set 009

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Question 1

A can harvest a field in 7 days. B can do the same work in 10 days. In how many days will they together harvest the field?

 A

$4{2/17}$ days.

 B

$5{2/17}$ days.

 C

$6{2/17}$ days.

 D

$7{2/17}$ days.

Soln.
Ans: a

Putting x = 7 and y = 10 in the shortcut method, we get ${xy}/{x + y}$ = ${70/17}$, which is same as: $4{2/17}$.


Question 2

A can finish a work in 12 days. B can do the same work in 13 days. They work together for 4 days. The fraction of work that is left is?

 A

${14/39}$.

 B

$1{14/39}$.

 C

${7/19}$.

 D

${3/8}$.

Soln.
Ans: a

They together finish $1/12 + 1/13$ work in a day. In 4 days they finish 4 × $(1/12 + 1/13)$ work, which is $100/156$. So the un-finished work is 1 - $100/156$ = ${14/39}$.


Question 3

A can do a work in 3 days. B can destroy the work in 7 days. In how many days will they together complete the work?

 A

$5{1/4}$ days.

 B

$6{1/4}$ days.

 C

$7{1/4}$ days.

 D

$8{1/4}$ days.

Soln.
Ans: a

Putting x = 3 and y = 7 in the shortcut method, we get ${xy}/{y - x}$ = ${21/4}$, which is same as: $5{1/4}$.


Question 4

Mr. X can finish a task in 13 days. Mr. Y can do the same work in 8 days. What is the ratio of the efficiencies of X : Y?

 A

${8/13}$.

 B

$1{8/13}$.

 C

${2/3}$.

 D

${9/14}$.

Soln.
Ans: a

The efficiency of X is $100/13$%, and the efficiency of Y is $100/8$%, so the ratio will be $8/13$


Question 5

A, B and C can independently complete a work in 5, 15 and 16 days respectively. First C starts the work, then A joined after 7 days, and B after 6 days. In how many days was the work completed?

 A

$8{40/79}$ days.

 B

$9{40/79}$ days.

 C

$10{40/79}$ days.

 D

$11{40/79}$ 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, and B joins after m days, the work is completed in ${xyz}/{xy + yz + zx}$ × $(1 + n/x + m/y)$ days. Putting the various values x = 5, y = 15, z = 16, n = 7, m = 6, and simplifying, we get ${672/79}$, which is same as: $8{40/79}$.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 009" 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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