A certain number of men can do a piece of work in 48 days. If there were 30 more men, it would take 18 days less to complete the work. The number of men, initially, is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 50.
Let the number of days is x and number of men is y.
x1 = 48, x2 = 30, y1 = y1 , y2 = 30 + y1
So, 48 × y1 = 30 (30 + y1)
⇒ 48y1 = 900 + 30y1
⇒ 18y1 = 900
⇒ y1 = 50