Question 1158063

A train leaves toronto to Montreal travelling (60km)/(h ) a second train leaves toronto heading for Montreal half an hour later at (75km)/(h) how long will it take for the second train to catch up to the first train?
<pre>Let time second train takes to catch up to 1st train be T
Then the 1st train had traveled for "T + l" hours before the second train caught up to it
We then get the following DISTANCE equation: {{{matrix(1,3, 60(T + 1/2), "=", 75T)}}}
60T + 30 = 75T
30 = 75T - 60T
30 = 15T
Time second train took to catch up to 1st train, or {{{highlight_green(matrix(1,6, T, "=", 30/15, "=", 2, hours))}}}