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Easy

Question

# 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?

Hint:

**Hint:**

When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres.

## The correct answer is: 7.2 hours

### Let’s say the area of the lawn is A.

Step 1 of 3:

It is given that Mohan takes 9 hours to mow a lawn of area A.

Area of lawn mowed by Mohan in one hour =

or we can say that the area that can be mowed by Mohan in one hour is .

Step 2 of 3:

Let’s say that Sohan can mow an area x in one hour. It is given that Mohan and Sohan together mowed the lawn in 4 hours.

Area mowed by Mohan in 4 hours = 4 = =

Area mowed by Sohan in 4 hours = 4 x = 4x

Now, Area mowed by Mohan in 4 hours + Area mowed by Sohan in 4 hours = A

+ 4x = A

x =

Step 3 of 3:

So, Sohan can mow an area of in one hour.

Time taken by Sohan to mow the whole lawn = hours

Final Answer:

Hence, the time taken by Sohan to mow the lawn if he works alone is 7.2 hours

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