Question

Jen ran 1 2/3 miles in 1/4 of an hour, and Max ran 1 1/2 miles in 1 /5 of an hour. What is the average speed of each of Jen and Max? Who runs faster?

Answer 1

Jen: 1 2/3 = 5/3 *4 = 20/3 = 6 2/3 miles per hour

Max: 1 1/2 = 3/2 * 5 = 15/2 = 7 1/2 miles per hour

Max runs faster

Answer 2

Max runs faster than Jen.

Average speed = 7.085 Miles per Hour

Explanation:

Distance covered by Jen =
`1(2)/(3) = (5)/(3) \text{ miles}`

Time taken by Jen =
`(1)/(4)\text{ hours}`

Distance covered by Max =
`1(1)/(2) = (3)/(2) \text{ miles}`

Time taken by Jen =
`(1)/(5)\text{ hours}`

Formula:

`Speed = \displaystyle(Distance)/(Time)`

Speed of Jen =
`\displaystyle((5)/(3) )/((1)/(4) ) = (20)/(3) = 6.67 \text{ miles per hour}`

Speed of Max =
`\displaystyle((3)/(2) )/((1)/(5) ) = (15)/(2) = 7.5 \text{ miles per hour}`

Hence, Max runs faster than Jen.

Average speed:

`\displaystyle\frac{\text{Speed of Max + Speed of Jen}}{2} \\\\= \dsplaystyle(6.67 + 7.5)/(2) = 7.085\text{ Miles per Hour}`