The distance between Town J and Town K was 191 km. At 05 00, Gillian left Town J and cycled towards Town K. Natalie left Town J and cycled towards Town K at 05 30. Natalie's cycling speed was 2 km/h faster than Gillian. At 9 00, Natalie caught up with Gillian. When Natalie was 35 km from Town K, she stopped to wait for Gillian. How far was Gillian from Natalie when she stopped to wait for him?
Duration in which Natalie cycled for before she caught up with Gillian
= from 05 30 to 9 00
= 3 h 30 min
= 3 ³⁰₆₀ h
= 3 ¹₂ h

Distance that Natalie cycled more than Gillian
= 3¹₂ x 2
= ⁷₂ x 2
= 5 km

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

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

Distance that Natalie cycled before she stopped to wait for Gillian
= 191 - 35
= 156 km

Duration that Natalie cycled for after she caught up with Gillian and when she stopped to wait for Gillian
= (156 ÷ 12) - 3¹₂
= 13 - 3¹₂
= 9¹₂ h

Distance Gillian was from Natalie when she stopped to wait
= 2 x 9¹₂
= 19 km

Answer(s): 19 km