The distance between Town U and Town V was 133 km. At 07 00, Vanessa left Town U and cycled towards Town V. Sarah left Town U and cycled towards Town V at 07 30. Sarah's cycling speed was 2 km/h faster than Vanessa. At 12 00, Sarah caught up with Vanessa. When Sarah was 37 km from Town V, she stopped to wait for Vanessa. How far was Vanessa from Sarah when she stopped to wait for him?
Duration in which Sarah cycled for before she caught up with Vanessa
= from 07 30 to 12 00
= 4 h 30 min
= 4 ³⁰₆₀ h
= 4 ¹₂ h

Distance that Sarah cycled more than Vanessa
= 4¹₂ x 2
= ⁹₂ x 2
= 7 km

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

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

Distance that Sarah cycled before she stopped to wait for Vanessa
= 133 - 37
= 96 km

Duration that Sarah cycled for after she caught up with Vanessa and when she stopped to wait for Vanessa
= (96 ÷ 16) - 4¹₂
= 6 - 4¹₂
= 1¹₂ h

Distance Vanessa was from Sarah when she stopped to wait
= 2 x 1¹₂
= 3 km

Answer(s): 3 km