The distance between Town X and Town Y was 196 km. At 09 00, Marion left Town X and cycled towards Town Y. Xandra left Town X and cycled towards Town Y at 09 40. Xandra's cycling speed was 3 km/h faster than Marion. At 12 00, Xandra caught up with Marion. When Xandra was 16 km from Town Y, she stopped to wait for Marion. How far was Marion from Xandra when she stopped to wait for him?
Duration in which Xandra cycled for before she caught up with Marion
= from 09 40 to 12 00
= 2 h 20 min
= 2 ²⁰₆₀ h
= 2 ¹₃ h

Distance that Xandra cycled more than Marion
= 2¹₃ x 3
= ⁷₃ x 3
= 9 km

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

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

Distance that Xandra cycled before she stopped to wait for Marion
= 196 - 16
= 180 km

Duration that Xandra cycled for after she caught up with Marion and when she stopped to wait for Marion
= (180 ÷ 30) - 2¹₃
= 6 - 2¹₃
= 3²₃ h

Distance Marion was from Xandra when she stopped to wait
= 3 x 3²₃
= 11 km

Answer(s): 11 km