Question

A jogger runs 1 4/5 miles in 1/4 hour and continues jogging at the same rate. What is the jogger's speed in miles per hour?

Answer 1

7
`(1)/(5)` miles per hour

Explanation:

`(1(4)/(5) )/((1)/(4) )` =
`(x)/(1)` Cross multiply and solve for x

`(1)/(4)` x = 1
`(4)/(5)`

1
`(4)/(5)` can be written
`(5)/(5)` +
`(4)/(5)` =
`(9)/(5)` (
`(5)/(5)` is another name for 1)

`(1)/(4)` x =
`(9)/(5)` multiply both sides by 4 (
`(4)/(1)` is another name for 4)

`(4)/(1)` x
`(1)/(4)` x =
`(4)/(1)` x
`(9)/(5)`

`(4)/(4)` x =
`(36)/(5)` (can be broken up to be
`(5)/(5)` +
`(5)/(5)` +
`(5)/(5)` +
`(5)/(5)` +
`(5)/(5)` +
`(5)/(5)` +
`(5)/(5)` +
`(1)/(5)`)

x = 7
`(1)/(5)`

Helping in the name of Jesus.

Answer 2

7.2 mi per hour

Explanation:

take 1.8*4 so that the .25h turns to 1 then you get 7.2 mi per 1h