A can do work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:
Question
A can do work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:
Solution
Sure, let's solve this step by step:
Step 1: Find out how much work A and B can do in a day. A can finish the work in 15 days, so A can do 1/15 of the work in a day. Similarly, B can finish the work in 20 days, so B can do 1/20 of the work in a day.
Step 2: Find out how much work A and B can do together in a day. If A can do 1/15 of the work in a day and B can do 1/20 of the work in a day, together they can do (1/15 + 1/20) of the work in a day. This equals 7/60 of the work in a day.
Step 3: Find out how much work A and B can do together in 4 days. If they can do 7/60 of the work in a day, in 4 days they can do 4*(7/60) = 7/15 of the work.
Step 4: Find out the fraction of the work that is left. If they have done 7/15 of the work, the fraction of the work that is left is 1 - 7/15 = 8/15.
So, the fraction of the work that is left is 8/15.
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