SOLUTION: It takes two hours to travel 30 miles by bike. How long will it take to travel 105 miles?

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Question 1204753: It takes two hours to travel 30 miles by bike. How long will it take to travel 105 miles?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

30%2F2=105%2Fx
30%2Ax=105%2A2
x=210%2F30
x=7
it will take 7 hours to travel 105 miles

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.

If it takes two hours to travel 30 miles by bike, it means that the average speed / (the average rate)  is  

    30%2F2 = 15 miles per hour.


If the rate remains the same, then the time to travel 105 miles is

    105%2F15 = 7 hours.    ANSWER



Or, alternatively, you may write a proportion

    30%2F2 = 105%2Fx    (which is distance%2Ftime in both scenarios)

and find x from there.  You will get the same answer.


Notice that the proportion expresses the fact that the average rate remains the same.

Solved.