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Chapter 6

Test Yourself

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Okay, so this question says After leaving home at ten thirty a. M and driving at an average speed of forty miles per hour, Brigitte arrived at her parents house at one thirty p. M. How fast and miles per hour, which she have had to drive, have driven in order to have arrived at one p. M. So this one we know is a distance rate and time question, because it gives us time. It gives us a rate and we need to use a conversion to find the distance so we first can start out with our equation, which is going to be Distance is equal to rate times time. So it's currently says that she left home at ten thirty a. M and arrived at her parents house at one thirty p. M. So between ten thirty a. M. Two one thirty p. M. Three hours had to have elapsed because we know that the clock resets at twelve, which means that from ten thirty to twelve thirty is two hours passing and then from there another, our heads have past to get to one. Thirty p n. So we know that the time that she drove for is three hours, and we also know that the average speed that she was driving out was forty miles per hour. So we can plug that in for the rate and the three hours for the time. Then we know that the distance between her original starting point and her parents house is going to be forty miles per hour multiplied by the three hours and again. The reason we want to set it up this way is because then this hours and this hours, the units are going to cancel out, and that way we're left with Miles, which is the correct two units for distance. So then, if we calculate this out, this is going to be one hundred twenty miles. And we know that one hundred and twenty miles is going to be the distance between Bridgette's initial starting point and parents, her parents house and that distance itself is not going to change. So then, in order to find out the rate that she has to have had to drive to arrive at one PM, we Khun use that same distance that we just found and plug it into this original equation that we were using. So then you could say one hundred and twenty miles physical to some rate, which is what we're looking for, so we don't know what it is yet. Time's a time and the time that we're going to use this time is from ten thirty to one p. M, which is thirty minutes less than our original ten thirty to one. Thirty p. M, which means that instead of three hours it's going to be two point five hours. So we know that one twenty miles is equal to rate Time's a two point five hours now. The only stuff that we have to take is to divide by two point five hours on both sides. Teo, isolate our are variable because that way we get that our is equal to one twenty miles divided by two point five hours. And we know that we did this correctly because miles divided by hours, is the correct units for our rate, and that becomes forty eight miles per our. So then we know that if Bridget had gone at forty eight miles per hour, she would have gotten there at one PM which logically makes a lot of sense because if she is going faster, she is going to get there. Earlier

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