SOLUTION: A motorist drove 120 miles before running out of gas and walking 4 miles to a gas station. The rate of the motorist in the car was ten times the rate walking. The time spent walkin
Algebra.Com
Question 1086524: A motorist drove 120 miles before running out of gas and walking 4 miles to a gas station. The rate of the motorist in the car was ten times the rate walking. The time spent walking was 2 hours less than the time spent driving. How long did it take for the motorist to drive the 120 miles?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the rate walking in mi/hr
= the rate driving the car
Let = the time in hrs spent driving
= the time in hrs spent walking
----------------------------------------
Equation for walking:
(1)
Equation for driving:
(2)
----------------------
(2)
Plug (2) into (1)
(1)
(1)
(1)
(1)
(1) hrs
--------------------------
The motorist took 3 hrs to drive the 120 mi
--------------------------
check:
(2)
(2)
(2)
(2) mi/hr
and
(1)
(1)
(1) mi/hr
OK
RELATED QUESTIONS
a motorist drove 72 miles before running out of gas, and then walking 4 miles to the gas... (answered by josmiceli)
i need ur help on travel and distance problems plzzzzzz......
a motorist drove 150... (answered by josmiceli)
a motorist drove 150 miles on country roads before driving 50 miles on mountain roads.... (answered by stanbon)
This is a problem from a college algebra project, and we are stuck.
A motorist drove... (answered by scott8148)
Rona drove 56 miles to visit a friend. She drove 42 miles before stopping for gas. What... (answered by stanbon)
if i drove my car 45 miles and ran out of gas. then i walked 3 miles to a gas station.... (answered by ankor@dixie-net.com)
a motorist drove 150 miles on a country roads before driving 50 miles on a mountain... (answered by ankor@dixie-net.com)
A motorist drove for 12 hours at at speed of 48 miles per hour. If his car covered 18... (answered by ikleyn)
A motorist drove 150 miles on country roads before driving 50 miles on mountain roads.... (answered by kevwill)