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Old 07-18-2016, 01:01 PM   #151
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On the racetrack puzzler, now I see what's going on. It's clear that many of you discussing this appeared to have information that was simply not in the question. You knew the question from before or looked it up on the internet and didn't realize Herk phrased the question differently from it's original. He didn't say it was a mile long track but your explanations were figuring that in. No wonder.
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Old 07-18-2016, 01:02 PM   #152
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Captn Mike is correct. Of course time factors into it. That's how you have to calculate average speed... Total distance / Total time. No matter what the total distance is, if the first half averaged 30 MPH, then there's no way you can achieve an average of 60MPH.

Assume the track is REALLY long... 60 miles. To average 60 MPH you have to drive the whole track in one hour.

But you drove the first half, (30 miles) at 30MPH, so it took you an hour to drive that half. But you need to drive the entire track in one hour! You have no time left to finish the next 30 miles.



So 0 minutes!!
Can't be done like you say
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Old 07-18-2016, 01:06 PM   #153
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Originally Posted by Evereddie View Post
On the racetrack puzzler. It's clear that many of you discussing this appeared to have information that was simply not in the question. You knew the question from before or looked it up on the internet and didn't realize Herk phrased the question differently from it's original. He didn't say it was a mile long track but your explanations were figuring that in. No wonder.
No.. this is all from the information in the puzzle.

What's your answer? And how did you arrive at it without assuming some distance of the track. (even if you assume the track is n miles long, and use basic algebra to arrive at your answer, the conclusion will still be the same)
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Old 07-18-2016, 01:06 PM   #154
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Ok.... so let's go with that... If you go 60 MPH for 1 minute, then stop.. how far did you go? answer = 1 mile.

SO if your track is 1 mile long, and on the first half mile you averaged 30mph.. that means it took you a minute to complete that first half. No matter how fast you go for the second half you cannot average 60mph for the whole track, because you used up your minute in the first half.
Everyone seems to be assuming that it will take the same time for each half. There is no set distance. There is no set time. There is a set relationship between the two and rate. The only thing we know about distance is that half is at one speed and half is at another. It doesn't matter what it is, just as long is it's half (.5). The rate of travel will also be a set number. We know two of these....30 for the first half, and 60 for the total. The time it takes to travel the two halves will be dependent on the rate of travel.

The rate for the first half plus the rate for the second half should be equal to 60.

30(.5) + X(.5) = 60

(30 + X ) X .5 = 60

30 + X = 60 / .5

30 + X = 120

X = 120 - 30

X = 90 mph
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Old 07-18-2016, 01:09 PM   #155
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Everyone seems to be assuming that it will take the same time for each half. There is no set distance. There is no set time. There is a set relationship between the two and rate. The only thing we know about distance is that half is at one speed and half is at another. It doesn't matter what it is, just as long is it's half (.5). The rate of travel will also be a set number. We know two of these....30 for the first half, and 60 for the total. The time it takes to travel the two halves will be dependent on the rate of travel.

The rate for the first half plus the rate for the second half should be equal to 60.

30(.5) + X(.5) = 60

(30 + X ) X .5 = 60

30 + X = 60 / .5

30 + X = 120

X = 120 - 30

X = 90 mph
No. You can't add two rates to arrive at the average rate for the whole trip.
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Old 07-18-2016, 01:11 PM   #156
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Good point...I was already recalculating....I don't think it can be done without a set distance.
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Old 07-18-2016, 01:13 PM   #157
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Good point...I was already recalculating....I don't think it can be done without a set distance.
It's doesn't matter what distance you make it. 1 mile, 60 miles, 6 billion miles, it can't be done.
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Old 07-18-2016, 01:13 PM   #158
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Nope.

https://www.algebra.com/algebra/home...on.170053.html
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Old 07-18-2016, 01:20 PM   #159
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Who is the smarty pants?

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I still could not count the OP's bananas.
I need new glasses ...

Click image for larger version

Name:	ImageUploadedByForest River Forums1468865936.443701.jpg
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Does this help? Lol
Its probably my phone 😜

Edit: nope looks the same
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Old 07-18-2016, 01:30 PM   #160
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So if a plane is on a giant conveyor belt.....
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