Jaya can do a certain piece of work in 30 days. Jaya and Sushma can together do the same work in 21 days, and Jaya, Sushma and Hina can do the same work together in 14 days. In how many days can Jaya and Hina do the same work together?
Given:
Jaya alone = 30 days
Jaya + Sushma = 21 days
Jaya + Sushma + Hina = 14 days
Find: Time taken by Jaya + Hina
Formula Used:
Total work = Rate × time
Solution:
Take total work = LCM(30, 21, 14) = 420 units
Jaya = = 14 units/day
Jaya + Sushma = = 20 units/day
=> Sushma = 20 − 14 = 6 units/day
Jaya + Sushma + Hina = = 30 units/day
=> Hina = 30 − (14 + 6) = 10 units/day
Jaya + Hina = 14 + 10 = 24 units/day
Required time = = days
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