Question

Connor's family took a road trip to Niagara Falls. Connor slept through the last 15% of the trip. If Connor fell asleep after they had travel 663 miles what was the total length of the trip.

Answer 1

The length of the trip is 780 miles

Explanation:

Given

`Sleep = 15\%`

`Distance\ Travelled = 663`

Required

Determine the length of the trip

If Connor slept for 15% of the trip, then Connor was awake for 85%

This is calculated as:

`Sleep + Awake = 100\%`

`15\% + Awake = 100\%`

`Awake = 100\% - 15\%`

`Awake = 85\%`

Represent the required distance with D.

So the expression for when she was awake is:

`85\% * D = 663`

Make D the subject

`D = (663)/(85\%)`

Convert % to decimal

`D = (663)/(0.85)`

`D = 780`

Hence, the length of the trip is 780 miles