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## Jack & Jill

Math brain teasers require computations to solve.

 Puzzle ID: #6652 Fun: (2.11) Difficulty: (2.91) Category: Math Submitted By: majd Corrected By: boodler

Jack and Jill are climbing down a vertical wall. They both use ropes hanging from the ceiling of a huge room. They start at the same time from the top of the wall which is 16 meters tall. The race is divided into two stages; the first 8 meters and the last 8 meters. A penalty of half a minute waiting time is placed upon whoever loses the first stage (first 8 meters) and it commences as soon as the winner finishes the first 8 meters.

The following describes their climbing techniques:

1. Jack climbs down in a zigzag way (moving one step downwards diagonally at a fixed angle from the horizon line). In each step movement he completes the distance of 1 meter diagonally. Initially, his feet are distant 60 cm apart aligned on a perfectly horizontal line. It takes him 15 seconds to complete each move. Jack has to rest for 1 minute for every 8 meters he vertically completes.
2. Jill hops down according to a perfect half circular arc movement. In each hop, she moves a distance of 1.57 meters along the arc path (not the vertical). It takes her 15 seconds to complete each hop. Jill has to rest for 1 minute for every 6 meters she vertically completes.

Who will reach the ground first and how many additional minutes will it take the loser to finish the race?

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