20 Questions MCQ Test Quantitative Techniques for CLAT - Test: Time And Work- 1
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A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?
Detailed Solution for Test: Time And Work- 1 - Question 1
To calculate the answer we need to get 1 man per day work and 1 woman per day work.
Let 1 man 1 day work =x
and 1 woman 1 days work = y.
=> 6x+5y = 1/6
and 3x+4y = 1/10
On solving, we get x = 1/54 and y = 1/90
(9 men + 15 women)'s 1 days work =
(9/54) + (15/90) = 1/3
9 men and 15 women will finish the work in 3 days
8 men can do a work in 12 days. After 6 days of work four more men were employed. In how many days would the remaining work be done.
Detailed Solution for Test: Time And Work- 1 - Question 13
The correct option is C.
let 1 men does 1 unit of work per day
So Total work: 8x12=96units
Work 8 men will do in 6 days =8x6=48 units.
work lelt =96−48=48 units
After 6 days 4 men join.
so total men is 12 men (8+4) they will do 12 unit of work per day
remaining work completed in
= 4 days
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