The distance between Town M and Town N was 161 km. At 07 00, Hazel left Town M and cycled towards Town N. Gwen left Town M and cycled towards Town N at 07 30. Gwen's cycling speed was 2 km/h faster than Hazel. At 10 00, Gwen caught up with Hazel. When Gwen was 17 km from Town N, she stopped to wait for Hazel. How far was Hazel from Gwen when she stopped to wait for him?
Duration in which Gwen cycled for before she caught up with Hazel
= from 07 30 to 10 00
= 2 h 30 min
= 2 ³⁰₆₀ h
= 2 ¹₂ h

Distance that Gwen cycled more than Hazel
= 2¹₂ x 2
= ⁵₂ x 2
= 7 km

Hazel's cycling speed
= 7 x 2
= 14 km/h

Gwen's cycling speed
= 14 + 2
= 16 km/h

Distance that Gwen cycled before she stopped to wait for Hazel
= 161 - 17
= 144 km

Duration that Gwen cycled for after she caught up with Hazel and when she stopped to wait for Hazel
= (144 ÷ 16) - 2¹₂
= 9 - 2¹₂
= 6¹₂ h

Distance Hazel was from Gwen when she stopped to wait
= 2 x 6¹₂
= 13 km

Answer(s): 13 km