In 10 days A can do ½ of a job and B can do ⅓ of the job. In what time will they do ⅙ of job working together?
Answer given = 2 days
Please give step by step explanation
Answers
Step-by-step explanation:
A do half(1/2) the work in 10 days
1 part = 10 days
total 2 part = 20 days
- A can do full work in 20 days
B do 1/3 of the work in 10 days
1 part = 10 days
total 3 parts = 30 days
- B can do full work in 30 days.
we have to fix the work , both are doing same work for 20 days and 30 days
so, we can take LCM for 20,30 = 60units (total work)
capacity= work/time
A's capacity = 60/20 = 3 units/day
B's capacity= 60/30= 2 units / day
total capacity of A and B = 5 units /day
In Questions, they are asking for only 1/6 of the work , so 60/6 = 10 work
working together 10 work
time = --------------- = 2 days
5 units