Question

Your car averages 380 miles on a 14-gallon tank of gas. you run out of gas on a deserted highway, but have a half gallon of lawn mower gas with you. at the current rate of travel, how far will you be able to go and will you reach the nearest gas station 15 miles away?

Answer 1

380/14= 27.14 miles per gallon
27.14/2=13.57 miles
they wont reach the gas station

Answer 2

`13.57 \\` miles

The car would not reach the gas station

Explanation:

Car can travel
`380\\` mile on a
`14\\` gallon tank of gas

Distance traveled per gallon
`= (380)/(14) \\= 27.14\\`

lawn mover gas remaining
`= (1)/(2) \\` gallon

Distance traveled from the remaining
`(1)/(2)` gallon gas

`= (1)/(2) * 27.14 (miles)/(gallon)\\= 13.57 \\` miles only

Thus the car would not reach the gas station.