Question 1089679

Twelve hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at 10 mph on foot, and the guard travels at 70 mph by car, how far from the prison will the convict be caught by the guard?
<pre>Let distance from the prison that the convict was caught, be D
Then we get the following TIME equation: {{{D/10 = D/70 + 12}}}
7D = D + 840 -------- Multiplying by LCD, 70
7D – D = 840
6D = 840
D, or distance from prison where convict was caught = {{{highlight_green(matrix(1,4, 840/6, or, 140, miles))}}}