A and B together can do a specific work in 8 days. B alone can do it in 10 days, then time taken by A alone is
Question
A and B together can do a specific work in 8 days. B alone can do it in 10 days, then time taken by A alone is
Solution
Sure, let's solve this step by step:
Step 1: First, we need to find out how much work A and B can do in one day. Since they can complete the work in 8 days together, they can do 1/8 of the work in one day.
Step 2: Similarly, we find out how much work B can do in one day. Since B can complete the work in 10 days alone, B can do 1/10 of the work in one day.
Step 3: Now, to find out how much work A can do in one day, we subtract the work done by B in one day from the work done by A and B together in one day. So, A can do 1/8 - 1/10 of the work in one day.
Step 4: Simplifying 1/8 - 1/10, we get 1/40. So, A can do 1/40 of the work in one day.
Step 5: Therefore, the time taken by A alone to complete the work is 40 days.
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