Time and Work Quiz Set 019

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Question 1

6 men and 4 women finish a job in 32 days. In how many days will 8 women and 12 men finish that job?

 A

16.

 B

15.

 C

17.

 D

18.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 16 days.


Question 2

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: $5{5/6}$.


Question 3

A and B can together complete a job in 21 days. A can alone complete it in 28 days. How long would B alone take to finish the job?

 A

84 days.

 B

85 days.

 C

83 days.

 D

87 days.

Soln.
Ans: a

One day work of A + B is $1/21$. One day work of A is $1/28$. So one day work of B, say, $1/y$ = $1/21$ - $1/28$. Solving, we get y = 84 days.


Question 4

A, B and C can independently complete a work in 18, 16 and 6 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

$3{37/41}$ days.

 B

$4{37/41}$ days.

 C

$5{37/41}$ days.

 D

$6{37/41}$ 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 = 18, y = 16, z = 6, n = 2, and simplifying, we get ${160/41}$, which is same as: $3{37/41}$.


Question 5

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 10 days less. In how many days does Mr. P finish that work?

 A

5.

 B

4.

 C

6.

 D

7.

Soln.
Ans: a

Let the time taken by P be x days. Then the time taken by Q is 3x. The difference is 3x - x. So, 2x = 10. Solving, x = 5.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 019" 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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