SOLUTION: A man rides out into the country at a uniform rate of 30 miles per hour. He rests 2 hours and then rides back at 20 miles per hour. He is gone 5 hours. How far did he go? Plea

Question 211588: A man rides out into the country at a uniform rate of 30 miles per hour.
He rests 2 hours and then rides back at 20 miles per hour. He is gone 5
hours. How far did he go?
Please work me through this problem!
Thanks!
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
First thing, let's get rid of the 2 rest hours. That says the the man is actually moving for 3 hours.
You also know he goes as far at 30mph as he returns at 20mph.
Let the distance he goes each way be represented by d
Let the time at 30mph be given by t. Then the time at 20mph is

So the man travels at 30mph for 6/5 hour
= miles
Check your answer.
Does

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