Problema Solution
an airplane travels 1,400 miles in the same amount of time it takes a car to travel 210 miles. The car travels at a speed of 340 mph less than the airplane. What is the speed of the airplane?
Answer provided by our tutors
let
t = the time of the travel
p = the speed of the airplane
c = the speed of the car
since speed = distance/time => time = distance/speed
1400/p = 210/c multiply both sides by pc
1400c = 210p
the car travels at a speed of 340 mph less than the airplane
c = p - 340
by solving the system of equations
1400c = 210p
c = p - 340
we find
p = 400 mph
c = 60 mph
click here to see the step by step solution of the system of equations
the speed of the airplane is 400 mph.
the speed of the car is 60 mph.