Chero
A person leaves home at 8:00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. If x represents how far it is to the destination, then which of the following expressions represents the amount of time to make the return trip?
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Hero
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It makes sense to include the possible expressions since there is more than one way of doing this.
Chero
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okay...one sec.
Chero
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a) 25x
b) 6.5-x
c) x/25
Hero
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For some reason I'm getting \(t = \frac{x}{25} - 6.5\)
Hero
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Which is none of those
Hero
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Chero, is there a typo?
Chero
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let me check...
Chero
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No typos on the possible answers.
Wired
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\[Rate = \frac{Distance}{Time}\]
\[Time*Rate = Time*\frac{Distance}{Time}\]
\[Time*Rate = Distance\]
\[\frac{Time*Rate}{Rate} = \frac{Distance}{Rate}\]
\[Time = \frac{Distance}{Rate}\]
Chero
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I copied and pasted the question.
Wired
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Substitute Distance and Rate to get the Time.
Hero
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Wired, do you have an actual explanation or are you going to continue to talk in general?
Wired
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That IS the explanation. Replace Distance and Rate and you have the answer.
Hero
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I see. I was focused too much on setting up the problem to solve for t
Chero
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so is the answer b??
Chero
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I am terrible at word problems....they give me headaches.
Wired
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What is the Distance?
What is the Rate for the trip home?
Chlorophyll
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Since the total time: 12:30 - 8= 6.5 hrs
-> Return time : total - leaving time = ....
Chero
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x/25 should be the answer. I am not sure I just went ahead and submitted my answers.
Wired
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That's the correct answer.
Hero
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Yes, Chero, no one wanted to give you the answer though
Chero
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I am too tired, taking a quick break!! I appreciate your help. I am sure I will be back in about 20 minutes!
Chlorophyll
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@Chero Take a look at my explanation!
Chero
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Thank you again! I have been helping my 15 year old son since noon today and am about fried!! LOL
Hero
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Chrorophyll, they wanted the expression for time
Chlorophyll
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That what it is:
Return time = total time - start time
Chlorophyll
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Starting time = x
Wired
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@Chlorophyll Starting time is NOT X. As per the original statement:
X represents how far it is to the destination.
Chlorophyll
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"If x represents how far it is to the destination"
Wired
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Yes, I just stated that. X is DISTANCE, not TIME.
Chlorophyll
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Oh, I misread it :")
mahmit2012
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Wired
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@mahmit2012 Yes, you solved for X, but the question didn't want X.
@Chero Please close the thread and award a medal if you deem so.
mahmit2012
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