The distance between Town P and Town Q was 105 km. At 06 00, Winnie left Town P and cycled towards Town Q. Olivia left Town P and cycled towards Town Q at 06 30. Olivia's cycling speed was 2 km/h faster than Winnie. At 9 00, Olivia caught up with Winnie. When Olivia was 35 km from Town Q, she stopped to wait for Winnie. How far was Winnie from Olivia when she stopped to wait for him?
Duration in which Olivia cycled for before she caught up with Winnie
= from 06 30 to 9 00
= 2 h 30 min
= 2 ³⁰₆₀ h
= 2 ¹₂ h

Distance that Olivia cycled more than Winnie
= 2¹₂ x 2
= ⁵₂ x 2
= 6 km

Winnie's cycling speed
= 6 x 2
= 12 km/h

Olivia's cycling speed
= 12 + 2
= 14 km/h

Distance that Olivia cycled before she stopped to wait for Winnie
= 105 - 35
= 70 km

Duration that Olivia cycled for after she caught up with Winnie and when she stopped to wait for Winnie
= (70 ÷ 14) - 2¹₂
= 5 - 2¹₂
= 2¹₂ h

Distance Winnie was from Olivia when she stopped to wait
= 2 x 2¹₂
= 5 km

Answer(s): 5 km