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?

Question

hero · Answer

It makes sense to include the possible expressions since there is more than one way of doing this.

anonymous · Answer

okay...one sec.

anonymous · Answer

a)  25x
b)  6.5-x
c)  x/25

hero · Answer

For some reason I'm getting $t = \frac{x}{25} - 6.5$

hero · Answer

Which is none of those

hero · Answer

Chero, is there a typo?

anonymous · Answer

let me check...

anonymous · Answer

No typos on the possible answers.

anonymous · Answer

$$Rate = \frac{Distance}{Time}$$
$$Time*Rate = Time*\frac{Distance}{Time}$$
$$Time*Rate = Distance$$
$$\frac{Time*Rate}{Rate} = \frac{Distance}{Rate}$$
$$Time = \frac{Distance}{Rate}$$

anonymous · Answer

I copied and pasted the question.

anonymous · Answer

Substitute Distance and Rate to get the Time.

hero · Answer

Wired, do you have an actual explanation or are you going to continue to talk in general?

anonymous · Answer

That IS the explanation. Replace Distance and Rate and you have the answer.

hero · Answer

I see. I was focused too much on setting up the problem to solve for t

anonymous · Answer

so is the answer b??

anonymous · Answer

I am terrible at word problems....they give me headaches.

anonymous · Answer

What is the Distance?
What is the Rate for the trip home?

anonymous · Answer

Since the total time: 12:30 - 8= 6.5 hrs
-> Return time : total - leaving time = ....

anonymous · Answer

x/25 should be the answer. I am not sure I just went ahead and submitted my answers.

anonymous · Answer

That's the correct answer.

hero · Answer

Yes, Chero, no one wanted to give you the answer though

anonymous · Answer

I am too tired, taking a quick break!!  I appreciate your help. I am sure I will be back in about 20 minutes!

anonymous · Answer

@Chero Take a look at my explanation!

anonymous · Answer

Thank you again! I have been helping my 15 year old son since noon today and am about fried!! LOL

hero · Answer

Chrorophyll, they wanted the expression for time

anonymous · Answer

That what it is:
Return time = total time - start time

anonymous · Answer

Starting time = x

anonymous · Answer

@Chlorophyll Starting time is NOT X. As per the original statement:
X represents how far it is to the destination.

anonymous · Answer

"If x represents how far it is to the destination"

anonymous · Answer

Yes, I just stated that. X is DISTANCE, not TIME.

anonymous · Answer

Oh, I misread it :")

anonymous · Answer

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