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Select the correct answerIf A had worked alone he would have taken 63 hours to do the task. What is B’s share, if A and B together on a task finishing it in 36 hours and they get paid Rs.5,950 for it?Options3600340025502750

Question

Select the correct answerIf A had worked alone he would have taken 63 hours to do the task. What is B’s share, if A and B together on a task finishing it in 36 hours and they get paid Rs.5,950 for it?Options3600340025502750

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Solution

To solve this problem, we first need to understand the concept of work and time.

  1. If A alone can complete a task in 63 hours, then A's work rate is 1/63 of the task per hour.

  2. If A and B together can complete the same task in 36 hours, then their combined work rate is 1/36 of the task per hour.

  3. To find B's work rate, we subtract A's work rate from their combined work rate. So, B's work rate is 1/36 - 1/63 = 1/84 of the task per hour.

  4. The total payment for the task is Rs.5,950, which should be divided according to the amount of work A and B did. Since they worked together for 36 hours, A did 36/63 of the work and B did 36/84 of the work.

  5. To find B's share of the payment, we divide the total payment by the total amount of work and multiply by B's amount of work. So, B's share is Rs.5,950 * (36/84) / (36/63 + 36/84) = Rs.2,550.

So, the correct answer is Rs.2,550.

This problem has been solved

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