Question

(x) men can do some work in 42 days. If 10 more men added then the work would have been completed in 30 days, then in how many days (x+45) men can do the same work?

A 25 days Correct Answer Incorrect Answer
B 10 days Correct Answer Incorrect Answer
C 15 days Correct Answer Incorrect Answer
D 12 days Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

let the  Ratio of days is = 42 : 30 = 7 : 5 then Ratio of men will be  = 5 : 7 2 units = 10 1 unit = 5 5 units = 5 x 5 = 25 Therefore, (x) = 25 (x + 45) = 70 men Therefore, Number of days taken by (x + 45) men will be  = 25 x (42/70) = 15 days 

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