Ashifur August 8, 2023 - 14:58
Problem: Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take worker A and 8 working together to do the same job?

View all: ESTERN BANK | OFFICER | WRITTEN QUESTION (MATH) | 2005

Correct Answer: $4\frac{4}{9}$ hour

Explanation:

Worker A takes 8 hours to do = 1 job

Worker A takes 1 hours to do =$\frac{1}{8}$ job

Worker B takes 10 hours to do = 1 job

Worker B takes 1 hours to do =$\frac{1}{10}$ job

They together do = $\frac{1}{10}$ + $\frac{1}{8}$ = $\frac{9}{40}$

So A and B together do $\frac{9}{40}$ job in = 1 hour

So A and B together do 1 job in = $\frac{1x 40}{9}$ = $4\frac{4}{9}$ hour

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