# 04 - Two runners moving in the same direction in an oval track

**Problem**

Runners A and B start together in a race around a 900-ft oval track. Runner A is making a speed of 27 ft/sec and runner B at 22.5 ft/sec. How long will it take runner A to be exactly one circumference ahead of runner B.

**Solution**

Runner A is exactly one circumference ahead of runner B when runner A overtakes runner B for the first time:

$s_A - s_B = 900$

$s_A - s_B = 900$

$27t - 22.5t = 900$

$4.5t = 900$

$t = 200 ~ \text{sec}$ *answer*

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