To reach a vacation spot, the Jones family first traveled by plane and then drove the
remaining distance in a rented car. The distance by car was 125 kilometers less than the
distance by plane. The total distance was 500 kilometers less than three times the dis-
tance traveled by car. Find the distance flown in the airplane.

Question

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Respuesta :

absor201 absor201 · Answer 1 · 2019-11-29T08:02:31+01:00

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the distance by plane.

y = x - 125 => x=y+125 Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500 Eqn 2

Putting value of x from Eqn 1;

[tex](y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625[/tex]

Putting y=625 in Eqn 1

[tex]x=625+125\\x=750[/tex]

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

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