1. Mahesh and Suresh, when working together can do a piece of work in 8 days, Suresh and Abhishes, when working together can do the same piece of work in 10 days and when Mahesh and Abhishek work together they can do the same piece of work in 12 days. How long does it take to complete the work if all three work together?
STRICTLY
(solve only solution)
Answers
Answer is 30
Mahesh and Suresh will do it in 8 days. Suresh and Abhishes can do it in 10 days so 10+8=18 and Mahesh and Abhishek can do the work in 12 days so 18+12=30 so the answer is 30
Given: Mahesh and Suresh, when working together can do a piece of work in 8 days, Suresh and Abhishek, when working together can do the same piece of work in 10 days and when Mahesh and Abhishek work together they can do the same piece of work in 12 days.
To find: How long does it take to complete the work if all three work together.
Solution:
Mahesh and Suresh one day when working together can do a piece of work = 1/8 days
Suresh and Abhishek one day when working together can do the same piece of work = 1/ 10 days
Mahesh and Abhishek one day work together they can do the same piece of work= 1/12 days
We add all the three and we get,
2(M+S+A)'s one day work= 1/8+1/10+1/12 = 15+12+10/120= 37/120= 37/240
M+S+A= 240/37 = 6.48= 6 DAYS
It takes 6 days to complete the work if all three work together.