Time and Work Quiz Set 006

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Question 1

A can harvest a field in 7 days. B can do the same work in 9 days. How much did A get if the farmer pays them a total amount of Rs. 4900 for a work that they together completed in 3 days?

 A

Rs. 2100.

 B

Rs. 2200.

 C

Rs. 2000.

 D

Rs. 2400.

Soln.
Ans: a

Work done by A in 1 day = $1/7$. So the work in 3 days = 3 × $1/7$. His share is Rs. 3 × $1/7$ × 4900 = Rs. 2100.


Question 2

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 3

A can finish a work in 15 days. B can do the same work in 11 days. They work together for 4 days. The fraction of work that is left is?

 A

${61/165}$.

 B

$1{61/165}$.

 C

${61/164}$.

 D

${31/83}$.

Soln.
Ans: a

They together finish $1/15 + 1/11$ work in a day. In 4 days they finish 4 × $(1/15 + 1/11)$ work, which is $104/165$. So the un-finished work is 1 - $104/165$ = ${61/165}$.


Question 4

A, B and C can independently complete a work in 18, 11 and 13 days respectively. First C starts the work, then A joined after 4 days, and B after 1 days. In how many days was the work completed?

 A

$5{101/115}$ days.

 B

$6{101/115}$ days.

 C

$7{101/115}$ days.

 D

$8{101/115}$ 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 = 18, y = 11, z = 13, n = 4, m = 1, and simplifying, we get ${676/115}$, which is same as: $5{101/115}$.


Question 5

A, B and C can independently complete a work in 4, 18 and 16 days respectively. B and C start the work together, but A joins them after 3 days. In how many days will the work be completed?

 A

$4{40/53}$ days.

 B

$5{40/53}$ days.

 C

$6{40/53}$ days.

 D

$7{40/53}$ 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 = 4, y = 18, z = 16, n = 3, and simplifying, we get ${252/53}$, which is same as: $4{40/53}$.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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