Time and Work
A can do a piece of work in 5 days, and B can do it in 6 days. How long will they take if both work together?
A’s 1 day’s work = th part of whole work and
B’s 1 day’s work th part of whole work
(A+B)’s one day’s work = part of whole work. so, both together will finish the work in
By Direct Formula
A+B can do the work in
Two men, Vikas and Vishal, working separately can mow a field in 8 and 12 hours respectively. If they work in stretches of one hour alternately, Vikas beginning at 8 a.m, when will the mowing be finished?
In the first hour, Vikas mows of the field.
In the second hour, Vishal mows of the field
in the first two 2 hours of the field is mown
In 8 hours of the field is mown
Now, of the field remains to be mown
in the 9th hour, vikar mows of the field
Remaining work =
Vishal will finish the remaining work in
or of an hour
The total time required is
Thus the work will be finished at
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