The distance between Town J and Town K was 117 km. At 07 00, Sabrina left Town J and cycled towards Town K. Erika left Town J and cycled towards Town K at 07 30. Erika's cycling speed was 2 km/h faster than Sabrina. At 11 00, Erika caught up with Sabrina. When Erika was 21 km from Town K, she stopped to wait for Sabrina. How far was Sabrina from Erika when she stopped to wait for him?
Duration in which Erika cycled for before she caught up with Sabrina
= from 07 30 to 11 00
= 3 h 30 min
= 3 ³⁰₆₀ h
= 3 ¹₂ h

Distance that Erika cycled more than Sabrina
= 3¹₂ x 2
= ⁷₂ x 2
= 7 km

Sabrina's cycling speed
= 7 x 2
= 14 km/h

Erika's cycling speed
= 14 + 2
= 16 km/h

Distance that Erika cycled before she stopped to wait for Sabrina
= 117 - 21
= 96 km

Duration that Erika cycled for after she caught up with Sabrina and when she stopped to wait for Sabrina
= (96 ÷ 16) - 3¹₂
= 6 - 3¹₂
= 2¹₂ h

Distance Sabrina was from Erika when she stopped to wait
= 2 x 2¹₂
= 5 km

Answer(s): 5 km