The distance between Town N and Town P was 184 km. At 05 00, Gabby left Town N and cycled towards Town P. Joelle left Town N and cycled towards Town P at 05 30. Joelle's cycling speed was 2 km/h faster than Gabby. At 11 00, Joelle caught up with Gabby. When Joelle was 16 km from Town P, she stopped to wait for Gabby. How far was Gabby from Joelle when she stopped to wait for him?
Duration in which Joelle cycled for before she caught up with Gabby
= from 05 30 to 11 00
= 5 h 30 min
= 5 ³⁰₆₀ h
= 5 ¹₂ h

Distance that Joelle cycled more than Gabby
= 5¹₂ x 2
= ¹¹₂ x 2
= 5 km

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

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

Distance that Joelle cycled before she stopped to wait for Gabby
= 184 - 16
= 168 km

Duration that Joelle cycled for after she caught up with Gabby and when she stopped to wait for Gabby
= (168 ÷ 12) - 5¹₂
= 14 - 5¹₂
= 8¹₂ h

Distance Gabby was from Joelle when she stopped to wait
= 2 x 8¹₂
= 17 km

Answer(s): 17 km