A can do a piece of work in 40 days whereas B can do same work in 45 days. Find the amount of work done if they work together for 10 days.
Answers
Answer:
The amount of work done if they work together for 10 days is 17/36
Step-by-step explanation:
Given :
A can do a piece of work in 40 days whereas B can do same work in 45 days.
To find :
the amount of work done if they work together for 10 days.
Solution :
A can do a piece of work in 40 days
Work done by A alone in one day = 1/40
B can do the same work in 45 days.
Work done by B alone in one day = 1/45
The amount of work done by both A and B together in one day = work done by A alone in one day + work done by B alone in one day
= 1/40 + 1/45
= 1/5 (1/8 + 1/9)
= 1/5 [(9 + 8)/72]
= 1/5 × 17/72
= 17/360
Therefore, in one day the amount of work done by A and B is 17/360
In 10 days, the amount of work done by A and B together
= 10 × 17/360
= 17/36