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Mathematics 20 Online
OpenStudy (bossimbacon):

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A. How fast did Car B travel? ___ mph @heavenfun13

OpenStudy (anonymous):

n important formula to remember when doing questions like this is rate×time=distance For car A you have: (rate of car A) x (2 hours) = distance Can you set up a similar equation for car B?

OpenStudy (imstuck):

Make a table. Like this:|dw:1412635241696:dw|

OpenStudy (imstuck):

the distance traveled by both is d (we just don't know what it is, and it really doesn't matter!)

OpenStudy (imstuck):

|dw:1412635367217:dw|

OpenStudy (bossimbacon):

ahhh..

OpenStudy (imstuck):

We know the times for both: A is 2 and B is 1.5:

OpenStudy (imstuck):

|dw:1412635407254:dw|

OpenStudy (bossimbacon):

so the rate woud be..

OpenStudy (imstuck):

As far as the rates go, we know that B traveled 15 miles per hour faster than A. Since we don''t know A's rate we will call it r. Then A would be "r", and B would be "r+15"

OpenStudy (imstuck):

|dw:1412635472625:dw|

OpenStudy (imstuck):

Now we are ready to set up our equation. Since both the cars traveled the same distance, and that distance for both is "d", and they are both equal to "d", they are both equal to each other. So here is the equation:

OpenStudy (imstuck):

|dw:1412635538508:dw|

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