The distance between Town Q and Town R was 165 km. At 05 00, Jean left Town Q and cycled towards Town R. Gwen left Town Q and cycled towards Town R at 05 30. Gwen's cycling speed was 2 km/h faster than Jean. At 11 00, Gwen caught up with Jean. When Gwen was 33 km from Town R, she stopped to wait for Jean. How far was Jean from Gwen when she stopped to wait for him?
Duration in which Gwen cycled for before she caught up with Jean
= from 05 30 to 11 00
= 5 h 30 min
= 5 ³⁰₆₀ h
= 5 ¹₂ h

Distance that Gwen cycled more than Jean
= 5¹₂ x 2
= ¹¹₂ x 2
= 5 km

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

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

Distance that Gwen cycled before she stopped to wait for Jean
= 165 - 33
= 132 km

Duration that Gwen cycled for after she caught up with Jean and when she stopped to wait for Jean
= (132 ÷ 12) - 5¹₂
= 11 - 5¹₂
= 5¹₂ h

Distance Jean was from Gwen when she stopped to wait
= 2 x 5¹₂
= 11 km

Answer(s): 11 km