The distance between Town Q and Town R was 200 km. At 07 00, Joelle left Town Q and cycled towards Town R. Roshel left Town Q and cycled towards Town R at 07 40. Roshel's cycling speed was 3 km/h faster than Joelle. At 12 00, Roshel caught up with Joelle. When Roshel was 32 km from Town R, she stopped to wait for Joelle. How far was Joelle from Roshel when she stopped to wait for him?
Duration in which Roshel cycled for before she caught up with Joelle
= from 07 40 to 12 00
= 4 h 20 min
= 4 ²⁰₆₀ h
= 4 ¹₃ h

Distance that Roshel cycled more than Joelle
= 4¹₃ x 3
= ¹³₃ x 3
= 7 km

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

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

Distance that Roshel cycled before she stopped to wait for Joelle
= 200 - 32
= 168 km

Duration that Roshel cycled for after she caught up with Joelle and when she stopped to wait for Joelle
= (168 ÷ 24) - 4¹₃
= 7 - 4¹₃
= 2²₃ h

Distance Joelle was from Roshel when she stopped to wait
= 3 x 2²₃
= 8 km

Answer(s): 8 km