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Select the correct answerA can finish a work in 18 days and B can the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?Options01/Sep01/Jun02/May2/Jul

Question

Select the correct answerA can finish a work in 18 days and B can the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?Options01/Sep01/Jun02/May2/Jul

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Solution

The problem is a work rate problem. Here's how you can solve it:

Step 1: Identify the individual work rates.

  • A can finish the work in 18 days. So, A's work rate is 1/18 work/day.
  • B can finish the work in half the time taken by A, which means B takes 18/2 = 9 days. So, B's work rate is 1/9 work/day.

Step 2: Add the individual work rates to get their combined work rate.

  • The combined work rate of A and B is 1/18 + 1/9 = 1/18 + 2/18 = 3/18 = 1/6 work/day.

So, working together, A and B can finish 1/6 of the work in a day. Therefore, the correct answer is 01/Jun.

This problem has been solved

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