Question 1

# A does a work in 10 days and B does the same work in 15 days. In how many days they together will complete the same work ?

Solution

Given

A does one work in = 10 days

so in one day A completes $$\frac{1}{10}$$ work

similarly B does one work in 15 days

so in one day B completes $$\frac{1}{15}$$ work

so if they work together than the time required by them is

$$\frac{1}{10} + \frac{1}{15}$$

= $$\frac{1}{6}$$

hence they complete one work together in 6 days