84 calculate distance

[ern5231]

Two distant points T and R are 209 miles apart. A vehicle from T to R moves at average speed of 40, another vehicle from R to T at an average of 55. How far from T do the two vehicles meet?

The answer given is 80 miles but I am getting a different answer

[cbenk121]

I got 88 miles.

Set up a system of equations:

D1 = 40 * T1
D2 = 55 * T2
D1 + D2 = 209
T1 = T2

The system quickly becomes 40T + 55T = 209 --> 95T = 209

Divide this out real quick to get T = 2.2 (whew, was clean).

We want D1 (distance from T), so plug T back into the first equation.

D1 = 40 * 2.2 = 88.

Is this what you got?