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2 men and 3 boys can do a piece of work ...

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the same work ?

A

2 दिन

B

8 दिन

C

7 दिन

D

12 दिन

Text Solution

Verified by Experts

The correct Answer is:
D
`3M + 3B = 1/10 " " .......(i)`
`3M + 2B = 1/8 " ".......(ii)`
समी. (i) `xx 2` – समी. (ii) `xx 3` करने पर
`4M +6B-9M-6B= 2/10 - 3/8`
`implies - 5M = (8 - 15)/40`
`implies M = 7/200`
`2M + 3B = 1/10`
`implies 7/100 + 3B = 1/10`
`implies 3B = 1/10 - 7/100 = (10 - 7)/100`
`implies B = 1/100`
`therefore` 2 आदमी तथा 1 लड़के की कार्य क्षमता
`= 2 xx 7/200 + 1/100 = 8/100 = 2/25`
`therefore` कार्य संपन्न होने में लगा समय =`25/2` दिन =`12 1/2` दिन
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