Quantitative Aptitude :: Chain Rule - Discussion

Show Explanation

Please attempt the question to view the Explanation !!!

Explanation:
(2 * 14) men +(7 * 14)boys=(3 * 11)men +(8 * 11)boys

<=> 5 men= 10 boys <=> 1 man = 2 boys

so (2 men + 7 boys) = (2 * 2 + 7) boys = 11 boys

=> ( 8 men + 6 boys) = (8 * 2 +6) boys = 22 boys.
Lets assume x days required.

Note: (u) means up arrow and (d) means down arrow.

boys work days
------------------
11(u) 1(d) 14(d)
22 3 x

(11/22 * 3/1) = x/14
=> x = (11/22 * 3* 14)
=> x = 21 days.