A can do a work in 15 days and B in 20 days. If they work together for 4 days, find the fraction of work remaining.
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Answer:
Remaining work is 8/15 of a work.
Step-by-step explanation:
A can do a work in 15 days.
A can do 1/15 of a work in 1 day
B in 20 days.
B can do 1/20 of a work in 1 day
They together can do (1/15 + 1/20) of a work in 1 day
=(4×1)+(3×1)/60
=7/60 of a work in 1 day
If they work together for 4 days they can complete 4× (7/60) of a work
= 7/15 of a work
If Complete work is 1
then remaining work is 1- (7/15)
=15-7/15
=8/15 of a work
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