Question

Two friends workout on the treadmill one friend walked 2 miles in 3/4 of an hour the second friend walked 1 3/4 mile in 30 minutes who walked faster

rate

Answer 1

Second friend walks faster

Solution:

Two friends workout on the treadmill

To find who walked datser, let us first find the unit rate

Unit rate = miles walked in 1 hour ( miles per hour )

One friend walked 2 miles in
`(3)/(4)` of an hour

Therefore,

`\text{ miles per hour } = \frac{ 2 \text{ miles}}{(3)/(4) \text{ hour }}\\\\\text{ miles per hour } = 2\text{ miles}} * (4)/(3) \text{ hour }\\\\\text{ miles per hour } = 2.67`

Thus unit rate of first friend is 2.67 miles per hour

The second friend walked
`1(3)/(4)` mile in 30 minutes

First convert the mixed fraction to improper fraction

`\rightarrow 1(3)/(4) \text{ miles } = (4 * 1 + 3)/(4) = (7)/(4) \text{ miles }`

Convert 30 minutes to hours

`1 \text{ minute } = (1)/(60) \text{ hour }\\\\30 \text{ minute } = 30 * (1)/(60) \text{ hour }\\\\30 \text{ minute } = 0.5 hour`

Therefore,

`\text{ miles per hour } = ((7)/(4))/(0.5) = (7)/(4) * (1)/(0.5)\\\\\text{ miles per hour } = 3.5`

Thus unit rate of second friend is 3.5 miles per hour

On comparing, unit rate of both friends,

unit rate of second friend > unit rate of first friend

3.5 > 2.67

Thus second friend walks faster