Question

A project manager hired 16 men to complete a project in 38 days. However, after 30 days, he realized that only `5/9`th of the work is complete. How many more men does he need to hire to complete the project on time?

विकल्प

• 48

• 24

• 32

• 16

Answer 1

32

Explanation:

Remaining work

`= 1 - 5/9 = 4/9`

`therefore ("M"_1"D"_1)/"W"_1 = ("M"_2"D"_2)/"W"_2`

`=> (16 xx 30)/(5/9) = ("M"_2 xx 8)/(4/9)`

⇒ `"M"_2 xx 8 xx 5 = 16 xx 30 xx 4`

⇒ `"M"_2 = (16 xx 30 xx 4)/(8 xx 5)` = 48

∴ Additional men = 48 - 16 = 32