SOLUTION: A train traveled 90 miles in 1in a half hours. At the same rate, how long will take the train to travel 330 miles?

Algebra ->  Proportions -> SOLUTION: A train traveled 90 miles in 1in a half hours. At the same rate, how long will take the train to travel 330 miles?      Log On


   

Question 120669: A train traveled 90 miles in 1in a half hours. At the same rate, how long will take the train to travel 330 miles?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Set up a simple ratio, maybe like this:
%2890+miles%29%2F%281.5hours%29++= %28330+miles%29%2F%28x+hours%29

Do you remember how to solve this?

a%2Fb=c%2Fd means ad=bc

Likewise,
%2890+miles%29%2F%281.5hours%29=+%28330+miles%29%2F%28x+hours%29 means90x=1.5%2A330
90x=495
x=495%2F90
x=5.5 hours

Alternate calculation:
%2890+miles%29%2F%281.5hours%29=+%28330+miles%29%2F%28x+hours%29
%2860%29=+%28330+miles%29%2F+%28x+hours%29+
60x+=+330+
x=+330%2F60=+5.5 hours.

As always, I have a section on my website that explains this. To find my website, click on my tutor name "rapaljer" anywhere in algebra.com, take the first link which is "Basic and Intermediate Algebra", then go to Basic Algebra, Chapter 3, Section 3.08 Ratio and Proportion.

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