The distance between Town J and Town K was 182 km. At 05 00, Anna left Town J and cycled towards Town K. Elyse left Town J and cycled towards Town K at 05 20. Elyse's cycling speed was 3 km/h faster than Anna. At 9 00, Elyse caught up with Anna. When Elyse was 38 km from Town K, she stopped to wait for Anna. How far was Anna from Elyse when she stopped to wait for him?
Duration in which Elyse cycled for before she caught up with Anna
= from 05 20 to 9 00
= 3 h 40 min
= 3 ⁴⁰₆₀ h
= 3 ²₃ h

Distance that Elyse cycled more than Anna
= 3²₃ x 3
= ¹¹₃ x 3
= 5 km

Anna's cycling speed
= 5 x 3
= 15 km/h

Elyse's cycling speed
= 15 + 3
= 18 km/h

Distance that Elyse cycled before she stopped to wait for Anna
= 182 - 38
= 144 km

Duration that Elyse cycled for after she caught up with Anna and when she stopped to wait for Anna
= (144 ÷ 18) - 3²₃
= 8 - 3²₃
= 4¹₃ h

Distance Anna was from Elyse when she stopped to wait
= 3 x 4¹₃
= 13 km

Answer(s): 13 km