Question

So um, 150 divided by 2 1/2 is 60mph So can someone else please help me figure out the rest?

Answer 1

See a solution process below:

Explanation:

You are correct that the constant speed of the train is 60mph or, rewritten:

`(60"mi")/"hr"`

To find the time, in hours it would take the train to cover a certain distance we divide the distance by the speed:

* For 100 Miles:

`(100"mi")/((60"mi")/"hr") =`

`(100"mi")/((60"mi")/"1hr") =`

`(100"mi" xx 1"hr")/(60"mi") =`

`(100color(red)(cancel(color(black)("mi"))) xx 1"hr")/(60color(red)(cancel(color(black)("mi")))) =`

`(100 xx 1"hr")/60 =`

`(100"hr")/60 =`

`(10"hr")/6 =`

`(5"hr")/3 =`

`1 2/3"hr"`

* For 270 Miles:

`(270"mi")/((60"mi")/"hr") =`

`(270"mi")/((60"mi")/"1hr") =`

`(270"mi" xx 1"hr")/(60"mi") =`

`(270color(red)(cancel(color(black)("mi"))) xx 1"hr")/(60color(red)(cancel(color(black)("mi")))) =`

`(270 xx 1"hr")/60 =`

`(270"hr")/60 =`

`(27"hr")/6 =`

`(9"hr")/2 =`

`4 1/2"hr"`

You should now be able to follow the same process for 360 miles.