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.
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
