The distance between Town S and Town T was 164 km. At 06 00, Nicole left Town S and cycled towards Town T. Gillian left Town S and cycled towards Town T at 06 30. Gillian's cycling speed was 4 km/h faster than Nicole. At 10 00, Gillian caught up with Nicole. When Gillian was 24 km from Town T, she stopped to wait for Nicole. How far was Nicole from Gillian when she stopped to wait for him?
Duration in which Gillian cycled for before she caught up with Nicole
= from 06 30 to 10 00
= 3 h 30 min
= 3 ³⁰₆₀ h
= 3 ¹₂ h

Distance that Gillian cycled more than Nicole
= 3¹₂ x 4
= ⁷₂ x 4
= 6 km

Nicole's cycling speed
= 6 x 4
= 24 km/h

Gillian's cycling speed
= 24 + 4
= 28 km/h

Distance that Gillian cycled before she stopped to wait for Nicole
= 164 - 24
= 140 km

Duration that Gillian cycled for after she caught up with Nicole and when she stopped to wait for Nicole
= (140 ÷ 28) - 3¹₂
= 5 - 3¹₂
= 1¹₂ h

Distance Nicole was from Gillian when she stopped to wait
= 4 x 1¹₂
= 6 km

Answer(s): 6 km