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:

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Accepted Answer

Let the total work be 1 unit.

Varun's rate of work = 1/50 (job per hour)
Varun and Raju's combined rate = 1/40 (job per hour)

Let Raju's rate be 1/x (job per hour).

According to the problem:
1/50 + 1/x = 1/40

Multiply both sides by 2000x (LCM of 50, 40, and x):
40x + 2000 = 50x

Rearranging:
50x - 40x = 2000
10x = 2000
x = 200

Therefore, Raju alone can complete the job in 200 hours.

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