The distance between Town J and Town K was 179 km. At 07 00, Dana left Town J and cycled towards Town K. Gillian left Town J and cycled towards Town K at 07 20. Gillian's cycling speed was 3 km/h faster than Dana. At 10 00, Gillian caught up with Dana. When Gillian was 35 km from Town K, she stopped to wait for Dana. How far was Dana from Gillian when she stopped to wait for him?
Duration in which Gillian cycled for before she caught up with Dana
= from 07 20 to 10 00
= 2 h 40 min
= 2 ⁴⁰₆₀ h
= 2 ²₃ h

Distance that Gillian cycled more than Dana
= 2²₃ x 3
= ⁸₃ x 3
= 7 km

Dana's cycling speed
= 7 x 3
= 21 km/h

Gillian's cycling speed
= 21 + 3
= 24 km/h

Distance that Gillian cycled before she stopped to wait for Dana
= 179 - 35
= 144 km

Duration that Gillian cycled for after she caught up with Dana and when she stopped to wait for Dana
= (144 ÷ 24) - 2²₃
= 6 - 2²₃
= 3¹₃ h

Distance Dana was from Gillian when she stopped to wait
= 3 x 3¹₃
= 10 km

Answer(s): 10 km