Ashifur August 8, 2023 - 17:47
Problem: A team of 2 men and 5 women completed one-fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to complete another one-fourth of the job. How many men can complete the whole job in 4 days?

View all: RAJSHAHI KRISHI UNNAYAN BANK OFFICER (SO) | WRITTEN QUESTION (MATH) SOLVE | 2014

Correct Answer: 6 men

Explanation:

2 men and 5 women require 3 days to complete $\frac{1}{4}$ job

They complete $\frac{1}{4×3}$ = $\frac{1}{12}$ job in1 day.

3 men + 5 women require 2 days to complete $\frac{1}{4}$ job;

They complete $\frac{1}{4×2} = \frac{1}{8}$days.

3 men + 5 women = $\frac{1}{8}$ …………………(i)

2 men + 5 women = $\frac{1}{12}$……………………(ii) [ বিয়োগ করি ]

1 man= $\frac{1}{24}$

$\frac{1}{24}$ job is done in 1 day by 1 men

1 job is done in 1 day by 24 men

1 job is done in 4 day by $\frac{24}{4}$ =6 men.

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