The distance between Town P and Town Q was 192 km. At 06 00, Lucy left Town P and cycled towards Town Q. Xandra left Town P and cycled towards Town Q at 06 45. Xandra's cycling speed was 4 km/h faster than Lucy. At 11 00, Xandra caught up with Lucy. When Xandra was 24 km from Town Q, she stopped to wait for Lucy. How far was Lucy from Xandra when she stopped to wait for him?
Duration in which Xandra cycled for before she caught up with Lucy
= from 06 45 to 11 00
= 4 h 15 min
= 4 ¹⁵₆₀ h
= 4 ¹₄ h

Distance that Xandra cycled more than Lucy
= 4¹₄ x 4
= ¹⁷₄ x 4
= 6 km

Lucy's cycling speed
= 6 x 4
= 24 km/h

Xandra's cycling speed
= 24 + 4
= 28 km/h

Distance that Xandra cycled before she stopped to wait for Lucy
= 192 - 24
= 168 km

Duration that Xandra cycled for after she caught up with Lucy and when she stopped to wait for Lucy
= (168 ÷ 28) - 4¹₄
= 6 - 4¹₄
= 1³₄ h

Distance Lucy was from Xandra when she stopped to wait
= 4 x 1³₄
= 7 km

Answer(s): 7 km