SOLUTION: A car traveled 120 miles in the same amount of time that it took an airplane to travel 1050 miles. The speed of the airplane was 310 miles per hour faster than the speed of the ca

Question 884315: A car traveled 120 miles in the same amount of time that it took an airplane
to travel 1050 miles. The speed of the airplane was 310 miles per hour faster than the speed of the car. Find the speed of the airplane.

Answer by geetha_rama(94) (Show Source): You can put this solution on YOUR website!
Let c be the speed of the car and a be the speed of the airplane.
Hence a = c+310 -> eq 1
Let t be the time taken for car and plane to cover a distance of 120 miles and 1050 miles respectively.
distance = speed * time
For car:
ct = 120 -> eq 2
For plane:
at = 1050 -> eq 3
substitute for a from eq 1 in eq 3
(c+310) = 1050 -> eq 4
Eq4/eq 2
becomes
(c+310)/c = 1050/120
(c+310)/c = 35/4
=> 4c + 1240 = 35c
=> 31c = 1240
=> c = 40 miles per hour
Speed of car = 40 miles per hour
Speed of plance = 350 miles per hour

RELATED QUESTIONS
An airplane travels 1400 miles in the same amount of time it takes a car to travel 210... (answered by stanbon)

Driver A drove 150 miles in the same amount of time that it took an airplane to travel... (answered by mmm4444bot)

The speed of an air plane is 500 miles per hour. The plane traveled 700 miles along the... (answered by Alan3354)

the distance a car travels at a constant speed varies directy with time. suppose the car... (answered by solver91311)

An airplane traveled 2,000 miles in the same time that a car traveled 300 miles. If the... (answered by ankor@dixie-net.com)

A plane with the wind traveled 855 miles at 143mph. flying against the wind at the same... (answered by ankor@dixie-net.com)

The speed of a boat in still water is 28 miles per hour. The boat traveled 70 miles... (answered by flame8855)

Mattie Evans drove 250 miles in the same amount of time that it took a turbo propeller... (answered by Theo,josgarithmetic,MathTherapy,greenestamps,Alan3354)

Please help with this equation!!!!!! If a plane travels 1050 miles in the amount of time (answered by ikleyn)