Question

Sam can mow 2 lawns in 3/4 hour.
How many lawns can he finish in 2 hours?

Answer 1

Sam can mow
`\( (16)/(3) \)` lawns in 2 hours.

Step-by-step explanation:

To find Sam's mowing rate per hour, we use the formula:

`\[ \text{Rate} = \frac{\text{Work}}{\text{Time}} \]`

Given that Sam can mow 2 lawns in
`\( (3)/(4) \)` hour, we calculate his rate:

`\[ \text{Rate} = (2)/((3)/(4)) \]`

To simplify, multiply the numerator and denominator by 4/3:

`\[ \text{Rate} = (2 * (4)/(3))/(1) = (8)/(3) \]`

So, Sam can mow
`\( (8)/(3) \)` lawns in one hour. Now, to find out how many lawns he can mow in 2 hours:

`\[ \text{Total Lawns} = \text{Rate} * \text{Time} = (8)/(3) * 2 = (16)/(3) \]`

Therefore, the corrected answer is that Sam can mow
`\( (16)/(3) \)` lawns in 2 hours.