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Work and Time - Quant/Math - CAT 2013
Question 4 the day:
May 8, 2003
The question for the day is from the topic of Work and Time.
- 2 men and 3 boys can do piece of work in 10 days and 3 men together with 2 boys can do the same job in 8 days. In how many days can 2 men and a boy do the work?
| (1) |
12½ days |
| |
(2) |
18½ days |
| (3) |
25 days |
| |
(4) |
25½ days |
Correct Answer - (1)
Solution:
10 (2 men + 3 boys) = 8 (3 men + 2 boys)
=> 4 men = 14 boys or 2 men = 7 boys
Now 2 men + 3 boys = 10 boys
And 2 men + 1 boy = 8 boys
=> 10 boys can do a job in 10 days
Therefore, 8 boys can do a job in  or 12 ½ days.
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