## Chero 3 years ago 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?

1. Hero

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

2. Chero

okay...one sec.

3. Chero

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

4. Hero

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

5. Hero

Which is none of those

6. Hero

Chero, is there a typo?

7. Chero

let me check...

8. Chero

No typos on the possible answers.

9. Wired

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

10. Chero

I copied and pasted the question.

11. Wired

Substitute Distance and Rate to get the Time.

12. Hero

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

13. Wired

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

14. Hero

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

15. Chero

16. Chero

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

17. Wired

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

18. Chlorophyll

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

19. Chero

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

20. Wired

21. Hero

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

22. Chero

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

23. Chlorophyll

@Chero Take a look at my explanation!

24. Chero

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

25. Hero

Chrorophyll, they wanted the expression for time

26. Chlorophyll

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

27. Chlorophyll

Starting time = x

28. Wired

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

29. Chlorophyll

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

30. Wired

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

31. Chlorophyll

32. mahmit2012

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33. Wired

@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.

34. mahmit2012

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