Time and Work Quiz Set 008

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Question 1

If 70 men can do a task in 17 days, how many men are required to complete the task in 14 days?

 A

14.

 B

15.

 C

13.

 D

17.

Soln.
Ans: a

If m1 men can do a task in d1 days, and m2 in d2, then we must have m1 × d1 = m2 × d2. Putting m1 = 70, d1 = 17 and d2 = 14, we get m2 = 85.


Question 2

A can harvest a field in 5 days. B can do the same work in 6 days. C can do the same work in 18 days. How much did A get if the farmer pays them a total amount of Rs. 2500 for a work that they together completed in 4 days?

 A

Rs. 2000.

 B

Rs. 2100.

 C

Rs. 1900.

 D

Rs. 2300.

Soln.
Ans: a

Work done by A in 1 day = $1/5$. So the work in 4 days = 4 × $1/5$. His share is Rs. 4 × $1/5$ × 2500 = Rs. 2000.


Question 3

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

 A

4.

 B

3.

 C

5.

 D

6.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 4 days.


Question 4

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 5

A can do a piece of work in 14 days. B is 40% more efficient than A. In how many days will they complete the work if they work together?

 A

$5{5/6}$ days.

 B

6 days.

 C

$6{1/6}$ days.

 D

$6{1/3}$ days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/14$. If B is 40% efficient, then one day work of B is $1/14$ × $140/100$ = $1/10$. Putting x = 14 and y = 10 in the shortcut method, we get ${xy}/{x + y}$ = ${35/6}$, which is same as: $5{5/6}$.


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This Blog Post/Article "Time and Work Quiz Set 008" 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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