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Puzzle ZIMH 



?

Two friends were driving from their home to Manchester, Alex drove the first 90 miles, and Blake took over for the remainder of the journey.

On the way back, Alex drove to begin with, and Blake took over for the last 100 miles.

Who drove the furthest?

Puzzle Copyright © Kevin Stone

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Answer
Blake.

Reasoning
If we call the total distance T, we know that:

   on the way there Alex drove 90 miles, and Blake drove T - 90 miles.

   on the way back Alex drove T - 100 miles, and Blake drove 100 miles.

So, in total:

   Alex drove 90 + (T - 100) = T - 10.

   Blake drove (T - 90) + 100 = T + 10.

So Blake drove 20 miles more than Alex.

 

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