The distance between Town W and Town X was 134 km. At 06 00, Vanessa left Town W and cycled towards Town X. Xylia left Town W and cycled towards Town X at 06 30. Xylia's cycling speed was 2 km/h faster than Vanessa. At 13 00, Xylia caught up with Vanessa. When Xylia was 22 km from Town X, she stopped to wait for Vanessa. How far was Vanessa from Xylia when she stopped to wait for him?
Duration in which Xylia cycled for before she caught up with Vanessa
= from 06 30 to 13 00
= 6 h 30 min
= 6 ³⁰₆₀ h
= 6 ¹₂ h

Distance that Xylia cycled more than Vanessa
= 6¹₂ x 2
= ¹³₂ x 2
= 6 km

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

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

Distance that Xylia cycled before she stopped to wait for Vanessa
= 134 - 22
= 112 km

Duration that Xylia cycled for after she caught up with Vanessa and when she stopped to wait for Vanessa
= (112 ÷ 14) - 6¹₂
= 8 - 6¹₂
= 1¹₂ h

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

Answer(s): 3 km