| If 12 men and 16 boys can do a piece of work in 5 days, 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is [RRB (TC/CC) 2012] |
A) 2 : 1
B) 3 : 1
C) 2 : 2
D) 5 : 4
Correct Answer: A
Solution :
| Let 1 man's one day work = x |
| and let 1 boy's one day work = y |
| Then, \[12x+16y=\frac{1}{5}\] and \[13x+24y=\frac{1}{4}\] |
| On solving, we get |
| \[x=\frac{1}{100},\]\[y=\frac{1}{200}\] |
| Ratio of man's one day work to that of boy |
| \[=\frac{x}{y}=\frac{\frac{1}{100}}{\frac{1}{200}}=\frac{2}{1}\] |
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