SOLUTION: A cyclist bikes at a constant speed for 25 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 30 miles. Find hi

Question 435174: A cyclist bikes at a constant speed for 25 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 30 miles. Find his speed.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let x be his speed:
25/x+1=30/x
Since he takes one hour longer going home.
Multiply both sides by x:
25+x=30
x=5
Of course, this should be obvious, Since it took him one hour to travel the 5 extra miles he needed to get home, his speed would naturally be 5mph.
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