A and B undertook to do a piece of work for Rs.4800.A alone could do it in 8days and B alone in 12days.With the assistance of C they finished the work in 4days.Then B’s share of the money is*1 point1.22502.16003.7504.1500
Question
A and B undertook to do a piece of work for Rs.4800.A alone could do it in 8days and B alone in 12days.With the assistance of C they finished the work in 4days.Then B’s share of the money is*1 point1.22502.16003.7504.1500
Solution
To solve this problem, we first need to find the rates at which A, B, and C work.
- A can complete the work in 8 days, so A's work rate is 1/8 of the work per day.
- B can complete the work in 12 days, so B's work rate is 1/12 of the work per day.
Given that A, B, and C together can complete the work in 4 days, their combined work rate is 1/4 of the work per day.
We can find C's work rate by subtracting A and B's work rates from the combined work rate:
C's work rate = (1/4) - (1/8 + 1/12) = 1/4 - 5/24 = 1/24 of the work per day.
Now, we need to find out how much work B did. B worked for 4 days at a rate of 1/12 of the work per day, so B did (4 * 1/12) = 1/3 of the work.
The total payment for the work is Rs.4800, so B's share of the money is (1/3) * Rs.4800 = Rs.1600.
So, the answer is 2.1600.
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