An airplane travels 2030 miles in the same time that a car travels 290 miles. If the rate of the plane is 348 miles per hour faster than the rate of the car

Question

Whats the rate of the plane

Answer 1

distance = rate * time

 

time is the same for both the plane and the car, so solve this for time:

 

time = distance/rate

 

time (plane) = distance (plane)/rate(plane)

 

time (car) = distance (car) / rate (car)

 

and the times are the same, so

 

plane dist/plane rate  = car dist/car rate

 

Put numbers in now (r = rate of the car):

 

2030/(r+348) = 290/r

 

Solve this by cross multiplying

 

2030 r  =  290 (r+348)

 

Distribute the 290 into the (r+ 348)

 

2030 r = 290 r + 100920

 

Subtract 290 r   from both sides

 

1740 r = 100920

 

Divide both sides by 1740

 

 

r = 100920/1740  = 58 miles per hour 

 

This is the rate of the CAR. 

 

The rate of the plane is 348 mph faster than the car, so the plane is travelling at a rate of

 

58 + 348 = 406 miles per hour.