Directions: solve the given problem by using the quadratic formula
A car travels 20kph faster than a truck.The car covers 480km in two hours less than the time it takes the truck to travel the same distance.How fast does the car travel?
A car travels 20kph faster than a truck.The car covers 480km in two hours less than the time it takes the truck to travel the same distance.How fast does the car travel?
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Answer:
80 km/h (car)
60 km/h (truck)
Step-by-step explanation:
let x be the time for truck
x-2 is for the time car time to cover
480/x-2=480/x+20
480x=480x-960-20x^2-60x
-20x^2-60x+960=0
20x^2-60x-960=0
x^2- 2x-68=0
x^2-8x+8x-48=0
x(x-8)+6(x-8)=0
(x+6)(x-8)=0
480/6m=80 km/h (car)
480/8m=60 km/h (truck)