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15 men can do a piece of work in 30 days. How many days would 9 men need to complete the work?
Question

15 men can do a piece of work in 30 days. How many days would 9 men need to complete the work?

A.

35

B.

50

C.

70

D.

65

Correct option is B

Given:
15 men can complete the work in 30 days.
We need to find how many days 9 men would take to complete the same work.
Formula Used:
Men1×Days1=Men2×Days2\text{Men}_1 \times \text{Days}_1 = \text{Men}_2 \times \text{Days}_2​​
Solution:
Men1=15,Days1=30\text{Men}_1 = 15,\text{Days}_1 = 30​​
Men2=9,Days2=?\text{Men}_2 = 9 , \text{Days}_2 = ?​​
Using the formula:
15×30=9×Days2450=9×Days2Days2=4509=50 days15 \times 30 = 9 \times \text{Days}_2 \\450 = 9 \times \text{Days}_2 \\\text{Days}_2 = \frac{450}{9} = 50\text{ days}​​
Thus, 9 men would need 50 days to complete the work.

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