Question

Marty and mary both drive for 4 hours. mary travels 50 miles less than marty. mary drives at an average rate of more than 40 miles per hour, but less than 60 miles per hour. which statement correctly describes the range of distance that marty may drive?

A.) Marty drives at least 210 miles, but no more then 290 miles.

B.) Marty drives more than 110 miles, but less than 190 miles.

C.) Marty drives at least 110 miles, but no more than 190 miles.

D.) Marty drives more than 110 miles, but less than 290 miles.

Answer 1

i think the answer is B.) Marty drives more than 110 miles, but less than 190 miles

Answer 2

A. Marty drives at least 210 miles, but no more then 290 miles.

Explanation:

We have been given that Marty and Mary both drive for 4 hours. Mary travels 50 miles less than Marty. Mary drives at an average rate of more than 40 miles per hour, but less than 60 miles per hour.

First of all, we will find distance covered by Mary at both rates.

`\text{Distance}=\text{Speed}* \text{Time}`

`\text{Distance covered at a rate of 40 mph}=\frac{40\text{ miles}}{\text{Hour}}* \text{4 hours}`

`\text{Distance covered at a rate of 40 mph}=160\text{ miles}`

`\text{Distance covered at a rate of 60 mph}=\frac{60\text{ miles}}{\text{Hour}}* \text{4 hours}`

`\text{Distance covered at a rate of 40 mph}=240\text{ miles}`

Since Marty travels 50 miles more than Mary, so we will add 50 miles to distance traveled by Mary.

`\text{Distance traveled by Marty at least}=160+50`

`\text{Distance traveled by Marty at least}=210`

`\text{Distance traveled by Marty at most}=240+50`

`\text{Distance traveled by Marty at most}=290`

Therefore, option A is the correct choice.