Question

a car travels 20 kph faster than a truck.the cars covers 350 km in 2 hours less than the ti me its take the truck to travel the same distance.what are the speed of the car and the truck???

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation: a car travels 20 kph faster than a truck.

it covers 350 km in two hours less than the time it takes for the truck to travel the same distance.

what is the speed of both vehicles?

:

Let s = the speed of the truck

then

(s+20) = the speed of the car

:

Write a time equation time = dist/speed

;

Truck time - car time = 2 hrs

350%2Fs - 350%2F%28%28s%2B20%29%29 = 2

Multiply the equation b s(s+20), cancel the denominators, and you have

350(s+20) - 350s = 2s(s+20)

350s + 7000 - 350s = 2s^2 + 40s

Combine to form a quadratic equation

2s^2 + 40s - 7000 = 0

 

Simplify divide by 2

s^2 + 20s - 3500 = 0

Factors to

(s+70)(s-50) = 0

the positive solution is what we want here

s = 50 km/h is the speed of the truck

then obviously;

70 km is the speed of the car

:

:

Confirm this by finding the travel time of each

350/50 = 7 hrs

350/70 = 5 hrs

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differ: 2 hrs

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