If the truck has speed x, then the car has speed x+20
since time = distance/speed,
350/(x+20) = 350/x - 2
Now just solve for x, and figure x+20
since time = distance/speed,
350/(x+20) = 350/x - 2
Now just solve for x, and figure x+20
Now, let's use the given information and set up the equations:
Equation 1: The car covers 350 km in two hours less than the time it takes the truck to travel the same distance. We can represent this as:
350/(t + 20) = 350/t - 2
Equation 2: The distance traveled by both the car and the truck is the same (350 km):
350 = t * (350/t) = 350
Now, let's simplify Equation 1 by multiplying both sides by (t + 20) and distribute:
350 = 350 - 2(t + 20)
Simplify further:
350 = 350 - 2t - 40
Combine like terms:
2t = 40
Divide both sides by 2:
t = 20
Therefore, the speed of the truck is 20 kph.
Now, let's substitute this value back into Equation 2 to find the speed of the car:
350 = (20 + 20)
Simplify:
350 = 40
Therefore, the speed of the car is 40 kph.
In conclusion, the speed of the car is 40 kph, and the speed of the truck is 20 kph.