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
English
100 Questions
100 Marks
90 Mins English English10 Questions10 Marks5 Mins English English10 Questions10 Marks6 Mins English
Suggested Test Series
Suggested Test Series
A can lay railway track between two given stations in 20 days and B can do the same job in 12 days. With the help of C, they did the job in 2 days only. Then, C alone can do the job in
Isha can do a certain piece of work in 24 days. Isha and Smriti can together do the same work in 20 days, and Isha, Smriti and Ashlesha can do the same work together in 12 days. In how many days can Isha and Ashlesha do the same work together?
Aryan takes 12 hours to mow a large lawn. He and Arman together can mow it in 7 hours. How long will Arman take to mow the lawn if he works alone?
Priya can do a certain piece of work in 30 days. Priya and Varsha can together do the same work in 18 days, and Priya, Varsha and Nisha can do the same work together in 9 days. In how many days can Priya and Nisha do the same work?
