Time and Work Quiz Set 011

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Question 1

A can harvest a field in 15 days. B can do the same work in 8 days. C can do the same work in 17 days. How much did A get if the farmer pays them a total amount of Rs. 12000 for a work that they together completed in 5 days?

 A

Rs. 4000.

 B

Rs. 4100.

 C

Rs. 3900.

 D

Rs. 4300.

Soln.
Ans: a

Work done by A in 1 day = $1/15$. So the work in 5 days = 5 × $1/15$. His share is Rs. 5 × $1/15$ × 12000 = Rs. 4000.


Question 2

A can do a work in 2 days. B can destroy the work in 7 days. In how many days will they together complete the work?

 A

$2{4/5}$ days.

 B

$3{4/5}$ days.

 C

$4{4/5}$ days.

 D

$5{4/5}$ days.

Soln.
Ans: a

Putting x = 2 and y = 7 in the shortcut method, we get ${xy}/{y - x}$ = ${14/5}$, which is same as: $2{4/5}$.


Question 3

A new tub can be filled by a tap in 14 minutes. But the tub is worn out, and there is a leakage that can empty the tub in 19 minutes. In how many minutes will the tap be able to fill the tub?

 A

$53{1/5}$ mins.

 B

$54{1/5}$ mins.

 C

$55{1/5}$ mins.

 D

$56{1/5}$ mins.

Soln.
Ans: a

Putting x = 14 and y = 19 in the shortcut method, we get ${xy}/{y - x}$ = ${266/5}$, which is same as: $53{1/5}$.


Question 4

A, B and C complete a work in 10, 13 and 19 days respectively. All three of them start the work together, but A leaves the work after 3 days, and B leaves the work after 5 days. In how many days will the work be completed?

 A

$5{129/130}$ days.

 B

$6{129/130}$ days.

 C

$7{129/130}$ days.

 D

$8{129/130}$ 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, and B after m days, the work is completed in z × $(1 - n/x - m/y)$ days. Putting the various values x = 10, y = 13, z = 19, n = 3, m = 5, and simplifying, we get ${779/130}$, which is same as: $5{129/130}$.


Question 5

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: $3{15/223}$.


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This Blog Post/Article "Time and Work Quiz Set 011" 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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