Question
Download Solution PDFRohan takes 10 hours to mow a large lawn. He and Mohan together can mow it in 4 hours. How long will Mohan take to mow the lawn if he works alone?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Rohan takes 10 hours to mow the lawn.
Rohan and Mohan together can mow it in 4 hours.
Formula used:
Work rate of Rohan = 1/10 (part of the lawn per hour)
Work rate of Rohan and Mohan together = 1/4 (part of the lawn per hour)
Work rate of Mohan = 1/x (part of the lawn per hour)
1/10 + 1/x = 1/4
Calculation:
1/10 + 1/x = 1/4
⇒ 1/x = 1/4 - 1/10
⇒ 1/x = (10 - 4) / 40
⇒ 1/x = 6 / 40
⇒ 1/x = 3 / 20
⇒ x = 20/3
∴ Mohan will take 20/3 hours to mow the lawn if he works alone.
∴ The correct answer is option 3.
Last updated on Jun 26, 2025
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