Question

A sedan will drive ten miles north, 15 miles east, 13 miles south, 15 miles west, and 22 miles north. The sedan gets 20 miles per gallon, and there are five gallons of gas left in the tank. Compute the relative distance and the total distance. Then decide if there is enough fuel for the trip.

I know that there isn't enough fuel for the trip and that the total distance is 75, what I need to know is what the relative distance is.

Answer 1

There is enough fuel for the trip and the relative distance is 19 miles

Step-by-step explanation:

Given Sedan drives

10 miles north

15 miles east

13 miles south

15 miles west

22 miles north

Then total distance = 10 + 15 + 13 + 15 + 22 = 75 miles

There are 5 gallons of gas left and sedan gets 20 miles per gallon

20 miles = 1 gallon

75 miles = 75/20 = 3.75 gallons

Gas left = 5 – 3.75 = 1.25 gallon

So, there is enough fuel for the trip

Relative distance = 10 (north) + 15 (east) – 13 (south) – 15 (west) + 22 (north) = 19 miles