Question

9men can dig a ditch in 21days, how long can it take 7men to dig​

Answer 1

49/3 days

Solution:

Here, the concept of unitary method is used. To find single unit, we divide and to find more than single unit, we multiply the necessary value by single unit.

We are given that, 9 men can dig a ditch in 21 days. Therefore, 1 man can dig the bench in:

= 21/9

= 7/3 days

According to the question, we need to find the no. of days taken for 7 men to dig the ditch. Therefore, No. of days taken for 7 men to dig is:

= 7 × Days taken for 1 man to dig

= 7 × 7/3

= 49/3 days

Therefore, 7 men took 49/3 days to dig the ditch.

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