Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow in 4 hours. How long will Sohan take to mow the lawn if he works alone? [2 Marks]

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Solution

Mohan can mow a lawn in 9 hours.

Work done by Mohan in 1 hour = 1/9 [0.5 Mark]

Mohan and Sohan can mow the lawn together = 4 hours

Work done by Mohan and Sohan together in 1 hour = 1/4 [0.5 Mark]

Work done by Sohan in 1 hour = (work done by together in 1 hour) – (work done by Mohan in 1 hr)

= 1/4 – 1/9

= 5/36 [0.5 Mark]

∴ Time taken by Sohan to complete the work = 36/5hours. [0.5 Mark]

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