Snail Goes Up the Stairs

Published by Mateusz Mędrowski in
algebraloopsmathnumbers

A snail goes up the stairs. Every step, he must go up (distance = height of step), then go to the next step (distance = length of step). He wants to reach the top of the tower (tower height = tower).

Write a function that returns the distance the snail must travel to the top of the tower.

Examples

TotalDistance(0.2, 0.4, 100.0) ➞ 300.0
// Total distance is 300.

TotalDistance(0.3, 0.2, 25.0) ➞ 41.7

TotalDistance(0.1, 0.1, 6.0) ➞ 12

Notes

  • All given values are greater than 0.
  • Tolerance of returned value is 0.1.
  • Number of steps determined by tower height divided by stair height.
  • For the purposes of this exercise, the last step's length must be counted to complete the journey.
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