Question 1192788

Train A is 200 miles west of train B. Train A starts travelling north at a constant speed of 85 mph. Two hours later, train B starts travelling east, at 90 mph. How many miles apart are the two trains after five hours?
<pre>If it's 5 hours after B started, then A would've been traveling for 7 (2 + 5) hours
In 5 hours, B would've traveled 5(90) = 450 miles, and would've been 200 + 450, or 650 miles from A's starting point
In 7 hours, A would've traveled 7(85) = 595 miles, north of its starting point
We now have a right-angled triangle, with legs of 595 and 650 miles. 
Distance both trains are apart, 7 hours after A started, and 5 nours after B started: {{{highlight_green(matrix(1,4, sqrt(595^2 + 650^2), "=", 881.21, miles))}}}
Obviously if it's 5 hours after A started, calculations will be different.