Select the correct answerA can complete a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. In how many days, A alone can finish the remaining work?Options7 days8 days8.5 days7.5 days
Question
Select the correct answerA can complete a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. In how many days, A alone can finish the remaining work?Options7 days8 days8.5 days7.5 days
Solution
Sure, let's solve this step by step:
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First, we need to find out how much work A and B can do in a day. If A can complete the work in 15 days, then A can do 1/15 of the work in a day. Similarly, if B can complete the work in 10 days, then B can do 1/10 of the work in a day.
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Next, we need to find out how much work B has already done. If B worked for 5 days, and B can do 1/10 of the work in a day, then B has done 5 * (1/10) = 1/2 of the work.
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Now, we need to find out how much work is left. If B has done 1/2 of the work, then there is 1 - 1/2 = 1/2 of the work left.
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Finally, we need to find out how long it will take A to finish the remaining work. If A can do 1/15 of the work in a day, then it will take A 1/2 / (1/15) = 7.5 days to finish the remaining work.
So, the correct answer is 7.5 days.
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