Problema Solution
A car travels 20 kph faster than a truck. The car covers 480 km in 2 hours less than the time it takes the truck to travel the same distance. How fast does the car travel?
Answer provided by our tutors
let
v = the rate of the truck, v>0
v + 20 = the rate of the car
d = 480 km the distance the travel
t = the time of the car travel,t>0
t + 2 = the time of the truck travel
since speed = distance/time => distance = speed*time
(v + 20)*t = 480
t = 480/(v + 20)
v*(t + 2) = 480
plug t = 480/(v + 20) into v*(t + 2) = 480
v*(480/(v + 20) + 2) = 480
by solving we find
v = 60 kph
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60 + 20 = 80
the speed of the car is 80 kph.