.A can do a 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 a 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
Step 1: Find out how much work A and B can do in a day.
A can do 1/15 of the work in a day and B can do 1/20 of the work in a day.
Step 2: Add the amount of work A and B can do in a day to find out how much they can do together in a day.
(1/15) + (1/20) = 7/60 of the work in a day.
Step 3: Multiply the amount of work A and B can do together in a day by the number of days they work to find out how much work they can do together in 4 days.
7/60 * 4 = 7/15 of the work in 4 days.
Step 4: Subtract the amount of work done from the total work to find out the fraction of the work that is left.
1 (total work) - 7/15 (work done) = 8/15 of the work is left.
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