Time and Work Quiz Set 003

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Question 1

A can finish a work in 5 days. B can do the same work in 7 days. They work together for 2 days. The fraction of work that is left is?

 A

${11/35}$.

 B

$1{11/35}$.

 C

${11/34}$.

 D

${1/3}$.

Soln.
Ans: a

They together finish $1/5 + 1/7$ work in a day. In 2 days they finish 2 × $(1/5 + 1/7)$ work, which is $24/35$. So the un-finished work is 1 - $24/35$ = ${11/35}$.


Question 2

A can finish a work in 6 days. B can do the same work in 15 days. They work together for 4 days. The fraction of work that is left is?

 A

${1/15}$.

 B

$1{1/15}$.

 C

${1/14}$.

 D

${1/8}$.

Soln.
Ans: a

They together finish $1/6 + 1/15$ work in a day. In 4 days they finish 4 × $(1/6 + 1/15)$ work, which is $84/90$. So the un-finished work is 1 - $84/90$ = ${1/15}$.


Question 3

A can do a piece of work in 39 days. B is 30% more efficient than A. In how many days will they complete the work if they work together?

 A

$16{22/23}$ days.

 B

17 days.

 C

$17{1/23}$ days.

 D

$17{2/23}$ days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/39$. If B is 30% efficient, then one day work of B is $1/39$ × $130/100$ = $1/30$. Putting x = 39 and y = 30 in the shortcut method, we get ${xy}/{x + y}$ = ${390/23}$, which is same as: $16{22/23}$.


Question 4

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

 A

85.

 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 5

A new tub can be filled by a tap in 13 minutes. But the tub is worn out, and there is a leakage that can empty the tub in 17 minutes. In how many minutes will the tap be able to fill the tub?

 A

$55{1/4}$ mins.

 B

$56{1/4}$ mins.

 C

$57{1/4}$ mins.

 D

$58{1/4}$ mins.

Soln.
Ans: a

Putting x = 13 and y = 17 in the shortcut method, we get ${xy}/{y - x}$ = ${221/4}$, which is same as: $55{1/4}$.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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