SOLUTION: 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?

Question 930971: 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 3 solutions by josgarithmetic, TimothyLamb, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Travel uniform rates relate quantities of RATE, TIME, and DISTANCE as RT=D.

________________rate_________time________distance
PLANE___________3r___________t-8_________960
CAR_____________r_____________t__________960

The table allows to find the system of equations
, two equations in two unknown variables.
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = speed of plane
y = speed of car
x = 3y
t = time traveled by car
---
s = d/t
---
speed of plane:
x = 960/(t - 8)
3y = 960/(t - 8)
y = 960/3(t - 8)
y = 320/(t - 8)
---
speed of car:
y = 960/t
---
equate speeds:
320/(t - 8) = 960/t
320/(t - 8) - 960/t = 0
320t/t(t - 8) - 960(t - 8)/t(t - 8) = 0
320t - 960(t - 8) = 0*t(t - 8)
320t - 960t + 8*960 = 0
-640t + 7680 = 0
t = 7680/640
t = 12
---
x = 960/(t - 8)
x = 960/(12 - 8)
x = 240
y = 320/(t - 8)
y = 320/(12 - 8)
y = 80
---
answer:
x = speed of plane = 240 kph
y = speed of car = 80 kph
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

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?

Let speed of car be S
Then speed of plane = 3S
The following TIME EQUATION is thus formed:

2,880 = 960 + 24S ------- Multiplying by LCD, 3S
2,880 � 960 = 24S
1,920 = 24S
S, or speed of car = , or km/h
Speed of plane: 3(80), or km/h
You can do the check!!
===================
Send comments, �thank-yous,� and inquiries to �D� at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 � 8 city/state wide exams,GENERAL
MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,
GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.
RELATED QUESTIONS
a private plane takes 8 hours less to travel 960 km than a car. if the plane travels 3... (answered by Boreal)
A private plane takes 8 hours less to travel 960 km than a car. If the plane travels 3... (answered by josgarithmetic,ikleyn,greenestamps)
My answer doesn't make any sense, could you please show me how to solve this problem. A (answered by Edwin McCravy,josmiceli)
Help me to solve this problem: A plane takes 10 hours less to travel 1200 km than a... (answered by Alan3354,josgarithmetic,ikleyn)
it takes a train one hour longer to travel 240 km than it does for a small plane to... (answered by ikleyn)
A transport plane travels five times as fast as an auto. The plane takes 30 minutes less... (answered by checkley77)
2. A train required 2 h longer to travel 500 km than a plane required to travel 1200 km.... (answered by josmiceli)
The average speed of a plane is eight times as great as the average speed of a train. (answered by Theo,greenestamps,josgarithmetic,MathTherapy)
A car is traveling 90 mph slower than a plane. If it takes the car 6 hours longer to... (answered by Alan3354)