Ashifur August 8, 2023 - 14:41
Problem: Arif can do a particular job in 4 days. Afzal can do the same job in 5 days. They worked together to complete the job and received a total payment of Tk. 450. How much money should Arif get?

View all: PUBALI BANK | WRITTEN QUESTION SOLVE(MATH) | 2000

Correct Answer: TK 250

Explanation:

Arif takes 4 days for 1 (full) work

Arif takes 1 day for $\frac{1}{4}$(full) work

Afzal takes 5 days for 1 (full) work

Afzal takes 1 days for $\frac{1}{5}$(full) work

Arif & Afzal 1 days work = $\frac{1}{4}$ + $\frac{1}{5}$ = $\frac{9}{20}$

So, they can do $\frac{9}{20}$work in 1 day

They can do 1 (full) work in $\frac{20}{9}$ day

Arif takes 1 day for = $\frac{1}{4}$work

Arif takes $\frac{20}{9}$ day for = $\frac{20}{9 x 4}$ work = $\frac{5}{9}$ work

Afzal done = 1 – $\frac{5}{9}$= $\frac{4}{9}$work

So, Arif : Afjsl = $\frac{5}{9}$ : $\frac{4}{9}$

Sum of this two ratio = (5 + 4) = 9

Arif will get = 450 of $\frac{5}{9}$= Tk. 250

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