100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 76

76 of 100: Daredevil Fly

Algebra Level 1

Two trains, each traveling at a speed of \(\SI[per-mode=symbol]{100}{\kilo\meter\per\hour},\) are headed towards each other on a straight track. At the exact moment the trains are \(\SI{300}{km}\) apart, a super-fast fly on the front of one train begins flying back and forth between the two trains at a speed of \(\SI{150}{km/h}.\)

What is the total distance the fly will have traveled before getting crushed between the trains?


There is a very simple way to calculate how far the fly flies, so think carefully!


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