The distance between Town Y and Town Z was 174 km. At 06 00, Roshel left Town Y and cycled towards Town Z. Yoko left Town Y and cycled towards Town Z at 06 30. Yoko's cycling speed was 4 km/h faster than Roshel. At 10 00, Yoko caught up with Roshel. When Yoko was 34 km from Town Z, she stopped to wait for Roshel. How far was Roshel from Yoko when she stopped to wait for him?
Duration in which Yoko cycled for before she caught up with Roshel
= from 06 30 to 10 00
= 3 h 30 min
= 3 ³⁰₆₀ h
= 3 ¹₂ h

Distance that Yoko cycled more than Roshel
= 3¹₂ x 4
= ⁷₂ x 4
= 6 km

Roshel's cycling speed
= 6 x 4
= 24 km/h

Yoko's cycling speed
= 24 + 4
= 28 km/h

Distance that Yoko cycled before she stopped to wait for Roshel
= 174 - 34
= 140 km

Duration that Yoko cycled for after she caught up with Roshel and when she stopped to wait for Roshel
= (140 ÷ 28) - 3¹₂
= 5 - 3¹₂
= 1¹₂ h

Distance Roshel was from Yoko when she stopped to wait
= 4 x 1¹₂
= 6 km

Answer(s): 6 km