The distance between Town Z and Town A was 146 km. At 06 00, Penelope left Town Z and cycled towards Town A. Tina left Town Z and cycled towards Town A at 06 30. Tina's cycling speed was 2 km/h faster than Penelope. At 10 00, Tina caught up with Penelope. When Tina was 34 km from Town A, she stopped to wait for Penelope. How far was Penelope from Tina when she stopped to wait for him?
Duration in which Tina cycled for before she caught up with Penelope
= from 06 30 to 10 00
= 3 h 30 min
= 3 ³⁰₆₀ h
= 3 ¹₂ h

Distance that Tina cycled more than Penelope
= 3¹₂ x 2
= ⁷₂ x 2
= 6 km

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

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

Distance that Tina cycled before she stopped to wait for Penelope
= 146 - 34
= 112 km

Duration that Tina cycled for after she caught up with Penelope and when she stopped to wait for Penelope
= (112 ÷ 14) - 3¹₂
= 8 - 3¹₂
= 4¹₂ h

Distance Penelope was from Tina when she stopped to wait
= 2 x 4¹₂
= 9 km

Answer(s): 9 km