Question

Q. 74 men and 6 boys can finish a piece of work in 5 days while 3 men and
4 boys can finish it in 7 days. Find the time taken by 1 man alone to finish
the work, and also that taken by 1 boy alone to finish the work​

Answer 1

70 days

Step-by-step explanation:

work is same (W1 = W2)

(4m + 6b)×5 = (3m+4b)×7 => 2b = 1 m

=> b/m = 1/ 2 ,b = 1 units/d & m = 2 units/d

Total work = (4×2 + 6×1) × 5 = 70 units

1 boy alone can finish it in 70/1

= 70 days