Select the correct answerWorking alone A can do the task in 27 hours and B can do it in 54 hours. Find C’s share (in Rs) if A, B and C get paid Rs.4,320 for completing a task in 12 hours on which they worked together?Options960144019201280
Question
Select the correct answerWorking alone A can do the task in 27 hours and B can do it in 54 hours. Find C’s share (in Rs) if A, B and C get paid Rs.4,320 for completing a task in 12 hours on which they worked together?Options960144019201280
Solution
To solve this problem, we first need to find out how much work each person can do per hour.
- A can complete the task in 27 hours, so A's work rate is 1/27 tasks per hour.
- B can complete the task in 54 hours, so B's work rate is 1/54 tasks per hour.
When A, B, and C work together, they can complete the task in 12 hours. So, their combined work rate is 1/12 tasks per hour.
We can find out C's work rate by subtracting A and B's work rates from the combined work rate.
So, C's work rate = (1/12) - (1/27 + 1/54) = 1/18 tasks per hour.
Now, we need to find out how much C should be paid. The total payment for the task is Rs. 4,320.
We can find out C's share by dividing C's work rate by the combined work rate and then multiplying by the total payment.
So, C's share = (C's work rate / combined work rate) * total payment = (1/18) / (1/12) * 4320 = Rs. 2880
So, the correct answer is Rs. 2880.
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