Time and Work Quiz Set 004

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Question 1

If 102 men can do a task in 48 days if they work 17 hours per day, how many men are required to complete the task in 17 days if they work 16 hours?

 A

306.

 B

307.

 C

305.

 D

309.

Soln.
Ans: a

If m1 men can do a task in d1 days by working h1 hours per day, and m2 in d2 days by working h2 hours per day, then we must have m1 × d1 × h1 = m2 × d2 × h2. Putting m1 = 102, d1 = 48, h1 = 17, d2 = 17, and h2 = 16 we get m2 = 306.


Question 2

A can harvest a field in 19 days. B can do the same work in 4 days. C can do the same work in 10 days. In how many days will they together harvest the field?

 A

$2{74/153}$ days.

 B

$3{74/153}$ days.

 C

$4{74/153}$ days.

 D

$5{74/153}$ days.

Soln.
Ans: a

Putting x = 19, y = 4 and z = 10 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${380/153}$, which is same as: $2{74/153}$.


Question 3

A can harvest a field in 2 days. B can do the same work in 9 days. In how many days will they together harvest the field?

 A

$1{7/11}$ days.

 B

$2{7/11}$ days.

 C

$3{7/11}$ days.

 D

$4{7/11}$ days.

Soln.
Ans: a

Putting x = 2 and y = 9 in the shortcut method, we get ${xy}/{x + y}$ = ${18/11}$, which is same as: $1{7/11}$.


Question 4

A can harvest a field in 19 days. B can do the same work in 13 days. C can do the same work in 5 days. How much did A get if the farmer pays them a total amount of Rs. 13300 for a work that they together completed in 4 days?

 A

Rs. 2800.

 B

Rs. 2900.

 C

Rs. 2700.

 D

Rs. 3100.

Soln.
Ans: a

Work done by A in 1 day = $1/19$. So the work in 4 days = 4 × $1/19$. His share is Rs. 4 × $1/19$ × 13300 = Rs. 2800.


Question 5

A can do a work in 4 days. B can destroy the work in 15 days. In how many days will they together complete the work?

 A

$5{5/11}$ days.

 B

$6{5/11}$ days.

 C

$7{5/11}$ days.

 D

$8{5/11}$ days.

Soln.
Ans: a

Putting x = 4 and y = 15 in the shortcut method, we get ${xy}/{y - x}$ = ${60/11}$, which is same as: $5{5/11}$.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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