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
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to travel 1050 miles. The speed of the airplane was 310 miles per hour faster than the speed of the ca
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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.
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
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