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velo90

Friday quiz

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Michael Schumacher starts a 16 lap race. Due to engine problems he can only average 90 mph for the first eight laps. Then magically the problem repairs itself.
How fast will he have to drive for the next 8 laps so his average during the whole race is 180 mph?

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Michael Schumacher starts a 16 lap race. Due to engine problems he can only average 90 mph for the first eight laps. Then magically the problem repairs itself.
How fast will he have to drive for the next 8 laps so his average during the whole race is 180 mph?



Can't be done.
...

The only sure way to survive a canopy collision is not to have one.

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Clever!
Now solve this one.

G W Bush has started the ball rolling so I am going to open up the first Martian skydiving school.
The question is for student gear will I need larger parachutes than on earth due to the thinner atmosphere? Or will I need smaller parachutes due to weaker gravity?

By the way, an AFF course at the Martian school of skydiving cost $400 billion.

Any takers?

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He would have to travel infinitely fast....

Say it were a two lap race, on a 90 mile long track. He does the first lap at 90 miles an hour, so it takes him one hour. But in order to average 180 miles an hour over the entire race (2 laps, 180 total miles), he would have to travel 180 miles in one hour (180 miles / one hour = 180mph).

But....since he already spent exactly one hour to complete the first lap, he has exactly 0 seconds to complete the second lap. Thus, infinite speed is required.

Matt
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hang on a min. If in the first half of the race he has an average of 90mph and in the seccond half of the race he has an average of 270mph then over the full race he will have an average of 180mph.
90mphx8+270mphx8/16laps=180mph average

How am I doing the sum wrong? Or have I missed a trick question?

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The answer will have to do with the proportion between the change of the atmospheric density, and that of the planetary gravity. If the gravitational decrease is only very slight, but the air is only 1% as dense as it is on Earth, much larger parachutes will be needed to react with the fewer air molecules.

Conversely, if the atmosphere is only slightly thinner than on Earth, but the gravity is substantially weaker, smaller parachutes will be needed.

I don't think there's a definitive answer to the question as given....

Matt
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180 mph means you have an hour to do 180 miles.

So, assume the race track is 180 miles long. How many hours does he have to drive to average 180 mph over 16 laps??

Now assume he has spent the first 8 laps travelling at 90 mph. How long has he been driving?

Simple subtraction will now give you the answer as to how long he has to complete the next 8 laps.

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