The distance between Town M and Town N was 179 km. At 05 00, Abi left Town M and cycled towards Town N. Nora left Town M and cycled towards Town N at 05 30. Nora's cycling speed was 2 km/h faster than Abi. At 11 00, Nora caught up with Abi. When Nora was 35 km from Town N, she stopped to wait for Abi. How far was Abi from Nora when she stopped to wait for him?
Duration in which Nora cycled for before she caught up with Abi
= from 05 30 to 11 00
= 5 h 30 min
= 5 ³⁰₆₀ h
= 5 ¹₂ h

Distance that Nora cycled more than Abi
= 5¹₂ x 2
= ¹¹₂ x 2
= 5 km

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

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

Distance that Nora cycled before she stopped to wait for Abi
= 179 - 35
= 144 km

Duration that Nora cycled for after she caught up with Abi and when she stopped to wait for Abi
= (144 ÷ 12) - 5¹₂
= 12 - 5¹₂
= 6¹₂ h

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

Answer(s): 13 km