The distance between Town Y and Town Z was 164 km. At 08 00, Nora left Town Y and cycled towards Town Z. Roshel left Town Y and cycled towards Town Z at 08 20. Roshel's cycling speed was 3 km/h faster than Nora. At 11 00, Roshel caught up with Nora. When Roshel was 29 km from Town Z, she stopped to wait for Nora. How far was Nora from Roshel when she stopped to wait for him?
Duration in which Roshel cycled for before she caught up with Nora
= from 08 20 to 11 00
= 2 h 40 min
= 2 ⁴⁰₆₀ h
= 2 ²₃ h

Distance that Roshel cycled more than Nora
= 2²₃ x 3
= ⁸₃ x 3
= 8 km

Nora's cycling speed
= 8 x 3
= 24 km/h

Roshel's cycling speed
= 24 + 3
= 27 km/h

Distance that Roshel cycled before she stopped to wait for Nora
= 164 - 29
= 135 km

Duration that Roshel cycled for after she caught up with Nora and when she stopped to wait for Nora
= (135 ÷ 27) - 2²₃
= 5 - 2²₃
= 2¹₃ h

Distance Nora was from Roshel when she stopped to wait
= 3 x 2¹₃
= 7 km

Answer(s): 7 km