Varun and Raju, working together, can complete a job in 40 hours whereas Varun alone can complete the same job in 50 hours. The number of hours required by Raju to complete the job alone is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 200.
Time required for Varun and Raju to complete the job = 40 hours
So, Varun and Raju together complete 1/40 of the job in 1 hour.
Time required for Varun to complete the job = 50 hours
Varun alone completes 1/50 of the job in 1 hour.
Let, the time required for Raju = x hours
So, 1/x = (1/40) - (1/50) = 1/200
⇒ x = 200
Therefore, Raju takes 200 hours to complete the job alone.