Grades 9-10 Video Solutions 2014-Levels 9&10 Video Solutions 2014 problem10

Levels 9&10 Video Solutions 2014 problem10

Video Transcription

Video Summary

The problem involves a bicycle with two wheels of different perimeters: 4.2 meters for the large wheel and 0.9 meters for the small wheel. The task is to find out how far the bicycle must travel for both wheel valves to align at the lowest point simultaneously again. The large wheel revolves once every 4.2 meters, and during this, the small wheel makes 4 and 2/3 revolutions. After analyzing the revolutions needed for alignment, it is determined that after the large wheel completes 3 revolutions (12.6 meters), both valves will align. Thus, the answer is 12.6 meters.

Keywords

bicycle

wheel alignment

large wheel

small wheel

revolutions