11) 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: Find out how much work A and B can do together in a day.
A and B together can do (1/15 + 1/20) of the work in a day. This simplifies to 7/60 of the work in a day.
Step 3: Find out how much work A and B can do together in 4 days.
A and B together can do 4 * (7/60) of the work in 4 days. This simplifies to 7/15 of the work in 4 days.
Step 4: Find out the fraction of the work that is left.
The fraction of the work that is left is 1 - 7/15, which simplifies to 8/15.
So, 8/15 of the work is left.
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