The distance between Town L and Town M was 200 km. At 06 00, Fiona left Town L and cycled towards Town M. Zoe left Town L and cycled towards Town M at 06 15. Zoe's cycling speed was 4 km/h faster than Fiona. At 10 00, Zoe caught up with Fiona. When Zoe was 32 km from Town M, she stopped to wait for Fiona. How far was Fiona from Zoe when she stopped to wait for him?
Duration in which Zoe cycled for before she caught up with Fiona
= from 06 15 to 10 00
= 3 h 45 min
= 3 ⁴⁵₆₀ h
= 3 ³₄ h

Distance that Zoe cycled more than Fiona
= 3³₄ x 4
= ¹⁵₄ x 4
= 6 km

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

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

Distance that Zoe cycled before she stopped to wait for Fiona
= 200 - 32
= 168 km

Duration that Zoe cycled for after she caught up with Fiona and when she stopped to wait for Fiona
= (168 ÷ 28) - 3³₄
= 6 - 3³₄
= 2¹₄ h

Distance Fiona was from Zoe when she stopped to wait
= 4 x 2¹₄
= 9 km

Answer(s): 9 km