Question 664560: I'm helping my daughter with her algebra and i can not rememeber the formual for this type of problem , can you help me out so i can expalin it to her? thanks Judy in Texas
if a biker travel 10 miles in 2 hrs, how long will it take him to ride 3.5 hours
Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! if a biker travel 10 miles in 2 hrs, how long will it take him to ride 3.5 hours
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?? Did you mean 3.5 miles?
If so,
10 mi/2 hr = 5 mi/hr
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d = r*t
t = d/r = 3.5/5
t = 0.7 hours or 42 minutes
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Another approach, using ratios
10/2 = 3.5/t
cross multiply
10t = 7
t = 0.7 hours
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! if the biker travels 10 miles in 2 hours, then the biker is traveling 5 miles per hour.
if the biker travels 5 miles per hour, then the biker travels 5 * 3.5 = 17.5 miles in 3.5 hours.
if you are asking how long will it take him to ride 3.5 miles, then the amount of time it will take will be 3.5 / 5 hours which is equal to .7 hours.
the basic equation you are looking for is rate * time = distance.
if the biker travels 10 miles in 2 hours, then this equation becomes rate * 2 = 10
you solve for rate to get rate = 10/2 = 5 miles per hour.
now that you have the rate, you can apply it to the second part of the problem.
the last part of your question was confusing.
you said.....
how long will it take him to ride 3.5 hours
this should have either been ...
how long will it take him to ride 3.5 miles.
or it should have been .....
how far can he travel in 3.5 hours.
assuming you anted to know howw long will it take him to ride 3.5 miles, then the same equation of rate * time = distance becomes 5 * time = 3.5 and you solve for time to get time = 3.5 / 5 hours
assuming you anted to know how far can he travel in 3.5 hours, then the same equation of rate * time = distance becomes 5 * 3.5 = distance and you solve for distance to get distance = 17.5 miles.
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