SOLUTION: hello i need help on this question. A jaguar travelled 1.2 times as fast as a Mercedes. the difference in their speeds was 24km /h. Find the speed of the car.

Question 118148: hello i need help on this question.
A jaguar travelled 1.2 times as fast as a Mercedes. the difference in their speeds was 24km /h. Find the speed of the car.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
let x=speed of Jaguar, y=speed of Mercedes

Translate the first sentence "A jaguar traveled 1.2 times as fast as a Mercedes" to get the equation . Now translate the second sentence "the difference in their speeds was 24km /h" to get the equation

Start with the given system

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Combine like terms on the left side

Now that we know that , we can plug this into to find

Substitute for each

Simplify

So our answer is and

So the speed of the Jaguar is 48 km/h and the speed of the Mercedes is 24 km/h
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