Henry’s Dilemma

Can you help? Help me solve this problem:

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 ½ 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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