The distance between Town Y and Town Z was 168 km. At 09 00, Shannon left Town Y and cycled towards Town Z. Emily left Town Y and cycled towards Town Z at 09 20. Emily's cycling speed was 3 km/h faster than Shannon. At 12 00, Emily caught up with Shannon. When Emily was 18 km from Town Z, she stopped to wait for Shannon. How far was Shannon from Emily when she stopped to wait for him?
Duration in which Emily cycled for before she caught up with Shannon
= from 09 20 to 12 00
= 2 h 40 min
= 2 ⁴⁰₆₀ h
= 2 ²₃ h

Distance that Emily cycled more than Shannon
= 2²₃ x 3
= ⁸₃ x 3
= 9 km

Shannon's cycling speed
= 9 x 3
= 27 km/h

Emily's cycling speed
= 27 + 3
= 30 km/h

Distance that Emily cycled before she stopped to wait for Shannon
= 168 - 18
= 150 km

Duration that Emily cycled for after she caught up with Shannon and when she stopped to wait for Shannon
= (150 ÷ 30) - 2²₃
= 5 - 2²₃
= 2¹₃ h

Distance Shannon was from Emily when she stopped to wait
= 3 x 2¹₃
= 7 km

Answer(s): 7 km