Ram and Shawan working together can complete a job in 5 hours, where as Ram alone can complete the same job in 6 hours. In how many hours can Shawan alone complete the job?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 30
Time taken by Ram and Shawan together to complete the work = 5 hours
Ram alone completes the work = 6 hours
Efficiency = Total work/No. of time taken
Let the total work be 30 units(we have taken L.C.M of 5 and 6)
Time taken by Ram and Shawan together = 5 hours
Efficiency of Ram and Shawan = 30/5 = 6 unit/hours
Ram alone takes 6 hrs.
Efficiency of Ram = 30/6 = 5 unit/hours
Efficiency of Shawan = ( 6 - 5) = 1 unit/h
Time taken by Shawan = 30/1 = 30 hours