Question 1194493
r = rate
t = time
d = distance
formula is r * t = d
the total time going and coming back is 8 hours.
for gordon going, the formula becomes 15 * t = d
for gordon coming back, the formula becomes 45 * (8 - t) = d
since they both = d, then 15 * t = 45 * (8 - t)
simplify to get:
15 * t = 360 - 45 * t
add 45 * t to both sides of the equation to get:
60 * t = 360
solve for t to get:
t = 6
the original formulas become:
15 * 6 = d which becomes 90 = d
45 * (8 - 6) = d which becomes 45 * 2 = d which becomes 90 = d
his car is 90 miles away.
that's your answer.