Time and Work Quiz Set 018

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Question 1

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 2

A, B and C complete a work in 14, 8 and 6 days respectively. All three of them start the work together, but A leaves the work after 6 days, and B leaves the work after 3 days. In how many days will the work be completed?

 A

$1{5/28}$ days.

 B

$2{5/28}$ days.

 C

$3{5/28}$ days.

 D

$4{5/28}$ 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 = 14, y = 8, z = 6, n = 6, m = 3, and simplifying, we get ${33/28}$, which is same as: $1{5/28}$.


Question 3

A can harvest a field in 12 days. B can do the same work in 18 days. C can do the same work in 5 days. In how many days will they together harvest the field?

 A

$2{58/61}$ days.

 B

$3{58/61}$ days.

 C

$4{58/61}$ days.

 D

$5{58/61}$ days.

Soln.
Ans: a

Putting x = 12, y = 18 and z = 5 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${180/61}$, which is same as: $2{58/61}$.


Question 4

If 57 men can do a task in 72 days if they work 3 hours per day, how many men are required to complete the task in 19 days if they work 9 hours?

 A

72.

 B

73.

 C

71.

 D

75.

Soln.
Ans: a

If m1 men can do a task in d1 days by working h1 hours per day, and m2 in d2 days by working h2 hours per day, then we must have m1 × d1 × h1 = m2 × d2 × h2. Putting m1 = 57, d1 = 72, h1 = 3, d2 = 19, and h2 = 9 we get m2 = 72.


Question 5

A can do a piece of work in 46 days. B is 15% more efficient than A. In how many days can B complete that work?

 A

20 days.

 B

21 days.

 C

19 days.

 D

22 days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/46$. If B is 15% efficient, then one day work of B is $1/46$ × $115/100$ = $1/20$. Which gives 20 days as the answer.


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This Blog Post/Article "Time and Work Quiz Set 018" 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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