The distance between Town N and Town P was 193 km. At 06 00, Jane left Town N and cycled towards Town P. Nora left Town N and cycled towards Town P at 06 30. Nora's cycling speed was 2 km/h faster than Jane. At 11 00, Nora caught up with Jane. When Nora was 39 km from Town P, she stopped to wait for Jane. How far was Jane from Nora when she stopped to wait for him?
Duration in which Nora cycled for before she caught up with Jane
= from 06 30 to 11 00
= 4 h 30 min
= 4 ³⁰₆₀ h
= 4 ¹₂ h

Distance that Nora cycled more than Jane
= 4¹₂ x 2
= ⁹₂ x 2
= 6 km

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

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

Distance that Nora cycled before she stopped to wait for Jane
= 193 - 39
= 154 km

Duration that Nora cycled for after she caught up with Jane and when she stopped to wait for Jane
= (154 ÷ 14) - 4¹₂
= 11 - 4¹₂
= 6¹₂ h

Distance Jane was from Nora when she stopped to wait
= 2 x 6¹₂
= 13 km

Answer(s): 13 km