Henry’s Dilemma

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**Can you help? Help me solve
this problem:**

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Two drivers decided to have a
cross-country race. Driver A would
go 100 mph, but driver B could only go 50 mph, so he was given a 100 mile
head start. While A went that 100
miles, B had gone 50 miles. When A
went that 50 miles, B had gone 25 miles.
When A went that 25 miles, B had gone 12 ˝ miles.
Carry on like this and A would never pass B.

I know this is wrong, because
in less than 3 hours A would have passed B; but,where is the error in my first
calculation?

Please email me your explanation
to this problem to put my mind at rest.

**Thank you –Henry at henrij@telus.net**

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