Question

On a vacation, Bridget and her family traveled 225 miles at 67 mph. How long did the trip take? (

Answer 1

Time `t=3.3582" "`hours

Explanation:

Given speed `s=67" "`miles/hour
distance `d=225" "`miles

`d/t=s`

`t=d/s=225/67=3.3582" "`hours

God bless....I hope the explanation is useful.

Answer 2

A lot of detail of how to solve this

Time travels is: 3.358 hours or 3 hours 21 minutes

Explanation:

`color(blue)("Building the initial equation")`

`color(brown)("Using ratios ( it is amazing just how much ratios pop up)"`

Consider the condition of the speed `->`67 miles per hour

Express as `("distance")/("time") ->(67" miles")/(1" hour")`

By the properties of ratio we can write

`(225" miles")/("unknown time")-=67/1 color(brown)(larr" initial equation")`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Working out the value for the answer")`

It is better that the unknown value is the top number so turn it all upside down.

`("unknown time")/(225" miles")-=1/67`

Multiply both sides by 225

`225/225xx"unknown time"-=225/67`

`"unknown time"-=225/67 =3.358" hours"` to 3 decimal places
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Converting the decimal answer to hours and minutes")`

Converting the decimal part into minutes

60 minutes = 1 hour so
0.358 of 1 hour is `0.358xx60" minutes"=21.49`

Rounding to the nearest minute`-> 21" minutes"`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("The final answer")`

Time travels is: 3.358 hours or 3 hours 21 minutes