A alone can make 100 baskets in 6 days and B alone can
make 100 baskets in 12 days. In how many days can A and B
together make 100 baskets?

Options

A. 3 days
B. 5 days
C. `2 1/2` days
D. None of these

Answer

(d)

Explanation

A' s 1 day's work `=1/6`
B's 1 day's work `=1/12`
`therefore (A+B)`'s 1 day's work `= 1/6+1/12=(2+1)/12 =1/4`
`therefore` A and B together will make 100 baskets in 4 days.
Alternate Solution:
In 12 days, A and B together can make (200 + 100)
baskets = 300 baskets
`therefore` in 4 days they can make 100 baskets.