The distance between Town T and Town U was 124 km. At 05 00, Barbara left Town T and cycled towards Town U. Winnie left Town T and cycled towards Town U at 05 30. Winnie's cycling speed was 2 km/h faster than Barbara. At 11 00, Winnie caught up with Barbara. When Winnie was 28 km from Town U, she stopped to wait for Barbara. How far was Barbara from Winnie when she stopped to wait for him?
Duration in which Winnie cycled for before she caught up with Barbara
= from 05 30 to 11 00
= 5 h 30 min
= 5 ³⁰₆₀ h
= 5 ¹₂ h

Distance that Winnie cycled more than Barbara
= 5¹₂ x 2
= ¹¹₂ x 2
= 5 km

Barbara's cycling speed
= 5 x 2
= 10 km/h

Winnie's cycling speed
= 10 + 2
= 12 km/h

Distance that Winnie cycled before she stopped to wait for Barbara
= 124 - 28
= 96 km

Duration that Winnie cycled for after she caught up with Barbara and when she stopped to wait for Barbara
= (96 ÷ 12) - 5¹₂
= 8 - 5¹₂
= 2¹₂ h

Distance Barbara was from Winnie when she stopped to wait
= 2 x 2¹₂
= 5 km

Answer(s): 5 km