The distance between Town V and Town W was 138 km. At 05 00, Roshel left Town V and cycled towards Town W. Tiffany left Town V and cycled towards Town W at 05 30. Tiffany's cycling speed was 2 km/h faster than Roshel. At 11 00, Tiffany caught up with Roshel. When Tiffany was 18 km from Town W, she stopped to wait for Roshel. How far was Roshel from Tiffany when she stopped to wait for him?
Duration in which Tiffany cycled for before she caught up with Roshel
= from 05 30 to 11 00
= 5 h 30 min
= 5 ³⁰₆₀ h
= 5 ¹₂ h

Distance that Tiffany cycled more than Roshel
= 5¹₂ x 2
= ¹¹₂ x 2
= 5 km

Roshel's cycling speed
= 5 x 2
= 10 km/h

Tiffany's cycling speed
= 10 + 2
= 12 km/h

Distance that Tiffany cycled before she stopped to wait for Roshel
= 138 - 18
= 120 km

Duration that Tiffany cycled for after she caught up with Roshel and when she stopped to wait for Roshel
= (120 ÷ 12) - 5¹₂
= 10 - 5¹₂
= 4¹₂ h

Distance Roshel was from Tiffany when she stopped to wait
= 2 x 4¹₂
= 9 km

Answer(s): 9 km