Time and Work Quiz Set 016

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Question 1

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 2

A and B can together complete a job in 12 days. A can alone complete it in 14 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 $1/12$. One day work of A is $1/14$. So one day work of B, say, $1/y$ = $1/12$ - $1/14$. Solving, we get y = 84 days.


Question 3

A can harvest a field in 12 days. B can do the same work in 7 days. In how many days will they together harvest the field?

 A

$4{8/19}$ days.

 B

$5{8/19}$ days.

 C

$6{8/19}$ days.

 D

$7{8/19}$ days.

Soln.
Ans: a

Putting x = 12 and y = 7 in the shortcut method, we get ${xy}/{x + y}$ = ${84/19}$, which is same as: $4{8/19}$.


Question 4

A, B and C can independently complete a work in 16, 11 and 6 days respectively. First C starts the work, then A joined after 3 days, and B after 2 days. In how many days was the work completed?

 A

$4{47/169}$ days.

 B

$5{47/169}$ days.

 C

$6{47/169}$ days.

 D

$7{47/169}$ 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, and B joins after m days, the work is completed in ${xyz}/{xy + yz + zx}$ × $(1 + n/x + m/y)$ days. Putting the various values x = 16, y = 11, z = 6, n = 3, m = 2, and simplifying, we get ${723/169}$, which is same as: $4{47/169}$.


Question 5

If 102 men can do a task in 48 days if they work 17 hours per day, how many men are required to complete the task in 17 days if they work 16 hours?

 A

306.

 B

307.

 C

305.

 D

309.

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 = 102, d1 = 48, h1 = 17, d2 = 17, and h2 = 16 we get m2 = 306.


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This Blog Post/Article "Time and Work Quiz Set 016" 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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