A can do a piece of work alone in 15 days, while B complete the same piece of work alone in 12 days. If they work on it together for 5 days, then the fraction of the work that will be left is:
LCM of 15 and 12 is 60 which can be assumed as the total work.Â
A can do a piece of work alone in 15 days.
Efficiency of A =Â $$\frac{60}{15}$$ =Â 4 units/day
while B complete the same piece of work alone in 12 days.
Efficiency of B = $$\frac{60}{12}$$ = 5 units/day
If they work on it together for 5 days.
Work done by both of them together in 5 days = $$5\times(4+5)$$
=Â $$5\times9$$
=Â 45 units
Remaining work = 60-45 = 15 units
The fraction of the work that will be left =Â $$\frac{15}{60}$$
= $$\frac{1}{4}$$
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