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3. A car travels 20 kph faster than a truck. The car covers 350 km in two hours less than the time it takes the truck to travel the same distance. What is the speed of the car? How about the truck?

pa help po with solution ty<//33​


Sagot :

Answer:

Truck time - car time = 2 hrs so,

(350/s) - [350/(s+20)] = 2

LCD we can get

[350(s+20) - 350s]/s(s+20) = 2

then transpose the denominator

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

simplifying we can get

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

then simplify more to become quadratic equation

2s^2 + 40s - 7000 = 0

to make it simplest divide the equation by 2

s^2 + 20s - 3500 = 0

by factoring we can get

s= 50

s= -70 (impossible because of the sign)