| 1 woman or 2 men or 3 boys can do a piece of work in 55 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in how many days? |
A) 18
B) 30
C) 32
D) 16
Correct Answer: B
Solution :
(b)| 1 woman = 2 man = 3 boys |
| \[1\,\,\text{boy}=\frac{2}{3}\text{man}\] |
| 1 man\[+1\] woman \[+1\] boy \[=1\] man \[+\,2\] men \[+\frac{2}{3}\]man\[=1+2+\frac{2}{3}=\frac{11}{3}\text{men}\] |
| If 2 men can do the work in 55 days, then |
| \[\frac{11}{3}\]men will do the same work in \[=\frac{2\times 55\times 3}{11}=30\,\,\text{days}\] |
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