Time and Work Quiz Set 010

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Question 1

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: $55{1/4}$.


Question 2

A can do a piece of work in 39 days. B is 30% more efficient than A. In how many days can B complete that work?

 A

30 days.

 B

31 days.

 C

29 days.

 D

32 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 $1/39$ × $130/100$ = $1/30$. Which gives 30 days as the answer.


Question 3

A new tub can be filled by a tap in 2 minutes. But the tub is worn out, and there is a leakage that can empty the tub in 13 minutes. In how many minutes will the tap be able to fill the tub?

 A

$2{4/11}$ mins.

 B

$3{4/11}$ mins.

 C

$4{4/11}$ mins.

 D

$5{4/11}$ mins.

Soln.
Ans: a

Putting x = 2 and y = 13 in the shortcut method, we get ${xy}/{y - x}$ = ${26/11}$, which is same as: $2{4/11}$.


Question 4

Mr. X can finish a task in 14 days. Mr. Y can do the same work in 10 days. What is the ratio of the efficiencies of X : Y?

 A

${5/7}$.

 B

$1{5/7}$.

 C

${5/6}$.

 D

${3/4}$.

Soln.
Ans: a

The efficiency of X is $100/14$%, and the efficiency of Y is $100/10$%, so the ratio will be $10/14$


Question 5

A, B and C complete a work in 11, 16 and 18 days respectively. All three of them start the work together, but A leaves the work after 1 days, and B leaves the work after 6 days. In how many days will the work be completed?

 A

$9{27/44}$ days.

 B

$10{27/44}$ days.

 C

$11{27/44}$ days.

 D

$12{27/44}$ 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 = 11, y = 16, z = 18, n = 1, m = 6, and simplifying, we get ${423/44}$, which is same as: $9{27/44}$.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 010" 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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