Time and Work Shortcut with examples

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  =

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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