SOLUTION: A man started driving his car at a certain time from a certain place. On arrival at his destination at the precise appointed time, he said, "If I had averaged 6 miles per hour fast

Question 939602: A man started driving his car at a certain time from a certain place. On arrival at his destination at the precise appointed time, he said, "If I had averaged 6 miles per hour faster, I would have been 5 minutes early. But if I had averaged 5 mph slower, I would have been 6 minutes late." Find how far he had driven.
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
___________________rate_____________time_____________distance
Faster_____________r+6_____________t-5/60____________d
OnTime______________r_______________t________________d
Slower_____________r-5____________t+6/60_____________d

Three equations using three unknowns, r, t, d.
Goal is find the value for d.

Use the simpler equation to substitute for rt in the Fast and Slow equations, and simplify. If you handle this correctly then you get a system of two equations in r and t. Solve that system for r and t... and you can then evaluate r*t=d.
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