Problem: Abdul alone can finish a work in 6 days and Bokul alone in 8 days. Abdul and Bokul undertook to do it for Tk 3200. With the help of Chinu, they completed the work in 3 days. If the money is to be distributed among them according to the work they have done, how much is to be paid to Chinu?

View all: SBAC BANK (MTO) | WRITTEN QUESTION (MATH) SOLVE | 2014

Correct Answer: ans. 400 TK

Explanation:

1n 6 days Abdul can finish the whole = 1 work

In 1 day Abdul can finish the whole = $\frac{1}{6}$ part of the work

Again,

In 8 days Bokul can finish the whole = 1 work

In 1 day Bokul can finish the whole =$\frac{1}{8}$ part of the work

So, In 1 \both Abdul & Bokul together can finish = ($\frac{1}{6}$+ $\frac{1}{8}$) = $\frac{7}{24}$ part of the work

Again in 3 days, Abdul, Bokul & Chinu can finish the whole = 1 work

In 1 day, Abdul, Bokul & Chinu can finish the whole =$\frac{1}{3}$part of the work

In 1 day only Chinu can finish = $\frac{1}{3}-\frac{7}{24}= \frac{1}{24}$ part of the work

So, the ratio of 1 day’s work done by Abdul, Bokul & Chinu respectively = $\frac{1}{6} : \frac{1}{8} : \frac{1}{24}$ = 4:3:1

Chinu is to be paid = (3200 x $\frac{1}{4+3+1}$) = 400 Tk.

Write Reply...
You should read | Topics/Questions
User Avatar

Articles

0

Comments

0

Rating

0