Time and Work Quiz Set 010

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Question 1

A, B and C can independently complete a work in 5, 15 and 13 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

$4{5/67}$ days.

 B

$5{5/67}$ days.

 C

$6{5/67}$ days.

 D

$7{5/67}$ 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 = 5, y = 15, z = 13, n = 2, and simplifying, we get ${273/67}$, which is same as: $4{5/67}$.


Question 2

A and B can complete a job in 16 and 64 days. They start together but A leaves after working for 6 days. How long would B take to finish the job counting from the day both A and B started together?

 A

40 days.

 B

41 days.

 C

39 days.

 D

43 days.

Soln.
Ans: a

If B takes x days. The total job is A's work in 4 days + B's work in x days = $6/16$ + $x/64$ = 1. Solving, we get x = 40 days.


Question 3

6 men and 4 women finish a job in 16 days. In how many days will 8 women and 12 men finish that job?

 A

8.

 B

7.

 C

9.

 D

10.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 8 days.


Question 4

A can do a piece of work in 18 days. B is 20% more efficient than A. In how many days will they complete the work if they work together?

 A

$8{2/11}$ days.

 B

$8{3/11}$ days.

 C

$8{4/11}$ days.

 D

$8{5/11}$ days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/18$. If B is 20% efficient, then one day work of B is $1/18$ × $120/100$ = $1/15$. Putting x = 18 and y = 15 in the shortcut method, we get ${xy}/{x + y}$ = ${90/11}$, which is same as: $8{2/11}$.


Question 5

If 80 men can do a task in 16 days, how many men are required to complete the task in 10 days?

 A

128.

 B

11.

 C

9.

 D

13.

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 = 80, d1 = 16 and d2 = 10, we get m2 = 128.


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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 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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