SOLUTION: My answer doesn't make any sense, could you please show me how to solve this problem. A private plane takes 8 hours less to travel 960 km than a car. If the plane travels 3 time

Question 550098: My answer doesn't make any sense, could you please show me how to solve this problem. A private plane takes 8 hours less to travel 960 km than a car. If the plane travels 3 times as fast as the car, what is the speed of the plane and the car?
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
My answer doesn't make any sense, could you please show me how to solve this problem. A private plane takes 8 hours less to travel 960 km than a car. If the plane travels 3 times as fast as the car, what is the speed of the plane and the car?
Make this chart
distance rate time
car
plane

Let the car's speed (rate) be x

>>...the plane travels 3 times as fast as the car...<<

So the plane's speed (rate) is 3x Fill these in for the rates, and 960 km for both distances: distance rate time car 960 x plane 960 3x Use to fill in the TIMES: distance rate time car 960 x plane 960 3x Our equation comes from this:

>>... A private plane takes 8 hours less to travel 960 km than a car...<<

= - 8
= - 8
Solve that and get x = 80 km/hr for the car and 3 times that or 240 km/hr
for the plane.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You need 1 equation for the car and 1 for the plane
Let = the speed of the car
Let = time for the car to travel km
given:
for the car:
(1)
for the plane:
(2)
-------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)

The speed of the plane is 240 km/hr
The speed of the car is 80 km/hr
check answer:
(1)
(1)
(1)
(1) hrs
---------------
(2)
(2)
(2)
(2)
(2)
(2) hrs
OK
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