The distance between Town T and Town U was 166 km. At 06 00, Gwen left Town T and cycled towards Town U. Roshel left Town T and cycled towards Town U at 06 45. Roshel's cycling speed was 4 km/h faster than Gwen. At 9 00, Roshel caught up with Gwen. When Roshel was 26 km from Town U, she stopped to wait for Gwen. How far was Gwen from Roshel when she stopped to wait for him?
Duration in which Roshel cycled for before she caught up with Gwen
= from 06 45 to 9 00
= 2 h 15 min
= 2 ¹⁵₆₀ h
= 2 ¹₄ h

Distance that Roshel cycled more than Gwen
= 2¹₄ x 4
= ⁹₄ x 4
= 6 km

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

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

Distance that Roshel cycled before she stopped to wait for Gwen
= 166 - 26
= 140 km

Duration that Roshel cycled for after she caught up with Gwen and when she stopped to wait for Gwen
= (140 ÷ 28) - 2¹₄
= 5 - 2¹₄
= 2³₄ h

Distance Gwen was from Roshel when she stopped to wait
= 4 x 2³₄
= 11 km

Answer(s): 11 km