Time and Work Quiz Set 017

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Question 1

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 2

If 26 men can do a task in 40 days if they work 9 hours per day, how many men are required to complete the task in 13 days if they work 10 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 = 26, d1 = 40, h1 = 9, d2 = 13, and h2 = 10 we get m2 = 72.


Question 3

A can do a work in 2 days. B can destroy the work in 7 days. In how many days will they together complete the work?

 A

$2{4/5}$ days.

 B

$3{4/5}$ days.

 C

$4{4/5}$ days.

 D

$5{4/5}$ days.

Soln.
Ans: a

Putting x = 2 and y = 7 in the shortcut method, we get ${xy}/{y - x}$ = ${14/5}$, which is same as: $2{4/5}$.


Question 4

A can harvest a field in 8 days. B can do the same work in 16 days. In how many days will they together harvest the field?

 A

$5{1/3}$ days.

 B

$6{1/3}$ days.

 C

$7{1/3}$ days.

 D

$8{1/3}$ days.

Soln.
Ans: a

Putting x = 8 and y = 16 in the shortcut method, we get ${xy}/{x + y}$ = ${16/3}$, which is same as: $5{1/3}$.


Question 5

A can do a work in 3 days. B can destroy the work in 7 days. In how many days will they together complete the work?

 A

$5{1/4}$ days.

 B

$6{1/4}$ days.

 C

$7{1/4}$ days.

 D

$8{1/4}$ days.

Soln.
Ans: a

Putting x = 3 and y = 7 in the shortcut method, we get ${xy}/{y - x}$ = ${21/4}$, which is same as: $5{1/4}$.


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Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 017" 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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