Module 1 · Arithmetic
Chapter 13: Circular Tracks
Arithmetic
3 topics
What this chapter covers
The 3 topics below make up Circular Tracks on the CAT. Click any topic to open its notes, examples and practice test.
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Formula Reference Sheet
This chapter
Meeting times on a circular track of length L
| Relative speed (opposite directions) | a + b |
|---|---|
| Relative speed (same direction) | |a − b| |
| Time to first meeting (opposite) | L / (a + b) |
| Time to first meeting (same) | L / |a − b| |
| Time for one full lap | L / a and L / b |
Meeting points & return to start
| Distinct meeting points (opposite) | |a + b| / HCF(a, b) |
|---|---|
| Distinct meeting points (same) | |a − b| / HCF(a, b) |
| Time to meet again AT the start | LCM( L/a , L/b ) |
| Same start point as ratio | meet at start after each completes whole laps |
| Three bodies, first meeting | LCM of the pairwise meeting times |
CAT reference
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