The distance between Town B and Town C was 128 km. At 06 00, Emily left Town B and cycled towards Town C. Marion left Town B and cycled towards Town C at 06 30. Marion's cycling speed was 2 km/h faster than Emily. At 9 00, Marion caught up with Emily. When Marion was 16 km from Town C, she stopped to wait for Emily. How far was Emily from Marion when she stopped to wait for him?
Duration in which Marion cycled for before she caught up with Emily
= from 06 30 to 9 00
= 2 h 30 min
= 2 ³⁰₆₀ h
= 2 ¹₂ h

Distance that Marion cycled more than Emily
= 2¹₂ x 2
= ⁵₂ x 2
= 6 km

Emily's cycling speed
= 6 x 2
= 12 km/h

Marion's cycling speed
= 12 + 2
= 14 km/h

Distance that Marion cycled before she stopped to wait for Emily
= 128 - 16
= 112 km

Duration that Marion cycled for after she caught up with Emily and when she stopped to wait for Emily
= (112 ÷ 14) - 2¹₂
= 8 - 2¹₂
= 5¹₂ h

Distance Emily was from Marion when she stopped to wait
= 2 x 5¹₂
= 11 km

Answer(s): 11 km