Question 1056233

Can you please solve the following problem?


Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 miles and one train goes 20 mph faster than the other, find the speed of the faster train.
<pre>Let faster train’s speed be S
Then slower train’s speed = S – 20
At 1st they were 500 miles apart, but after 2 hours, they were 300 miles apart, which means that in 2 hours they covered 200 (500 – 300) miles
We then get the following DISTANCE equation: 2S + 2(S – 20) = 200
2S + 2S – 40 = 200
4S – 40 = 200
4S = 240
S, or speed of faster train = {{{highlight_green(matrix(1,4, 240/4, or, 60, mph))}}}