The distance between Town H and Town J was 128 km. At 06 00, Sarah left Town H and cycled towards Town J. Nora left Town H and cycled towards Town J at 06 30. Nora's cycling speed was 2 km/h faster than Sarah. At 11 00, Nora caught up with Sarah. When Nora was 16 km from Town J, she stopped to wait for Sarah. How far was Sarah from Nora when she stopped to wait for him?
Duration in which Nora cycled for before she caught up with Sarah
= from 06 30 to 11 00
= 4 h 30 min
= 4 ³⁰₆₀ h
= 4 ¹₂ h

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

Sarah'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 Sarah
= 128 - 16
= 112 km

Duration that Nora cycled for after she caught up with Sarah and when she stopped to wait for Sarah
= (112 ÷ 14) - 4¹₂
= 8 - 4¹₂
= 3¹₂ h

Distance Sarah was from Nora when she stopped to wait
= 2 x 3¹₂
= 7 km

Answer(s): 7 km