Painter A can paint a building in 12 days while Painter B can paint it in 16 days. If A and B work on alternate days, and A starts the work on the first day, then the number of days required to paint the building is
Painter A can paint a building in 12 days while Painter B can paint it in 16 days. If A and B work on alternate days, and A starts the work on the first day, then the number of days required to paint the building is
Solution
Painter A can paint a building in 12 days while Painter B can paint it in 16 days.
So, let us assume the total work-done to be the LCM or some multiple of 12 and 16, let's take 192 (for simple calculation).
| Person | A | B |
|---|---|---|
| Rate | units/day | units/day |
| Time | days | days |
| Work-Done | units | units |
A and B work on alternate days, with A starting first.
So, in every 2 days, work done is:
units
In 12 days, there are 6 such pairs.
units
Work left:
units
Day 13 is A's turn.
A does units of work.
Work left after 13 days:
units
Now B works on day 14.
B does units in 1 day.
So, time taken by B to complete units is:
day
Total time required:
days



