SOLUTION: a car travels 30 kph fster than a truck, the car covers 540km in 3 hrs les than the time it takes the truck to travel the same distance how fast does the car travel

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Question 892706: a car travels 30 kph fster than a truck, the car covers 540km in 3 hrs les than the time it takes the truck to travel the same distance how fast does the car travel
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Assign some variables for RT=D, uniform rates travel, rate time distance.

r = rate of truck
r+30 = rate of car
d = distance truck travels

___________________speed________time________distance_____EQUATIONS
CAR________________r+30_________t-3_________540__________highlight_green%28%28r%2B30%29%28t-3%29=540%29
TRUCK_______________r____________t__________540__________highlight_green%28rt=540%29

The rest of the solving process is arithmetic or algebraic steps.
Two equations in two unknowns r and t. The system is not linear;
a couple of substitutions will be needed during the process.