The distance between Town V and Town W was 167 km. At 07 00, Kimberly left Town V and cycled towards Town W. Elyse left Town V and cycled towards Town W at 07 30. Elyse's cycling speed was 2 km/h faster than Kimberly. At 10 00, Elyse caught up with Kimberly. When Elyse was 23 km from Town W, she stopped to wait for Kimberly. How far was Kimberly from Elyse when she stopped to wait for him?
Duration in which Elyse cycled for before she caught up with Kimberly
= from 07 30 to 10 00
= 2 h 30 min
= 2 ³⁰₆₀ h
= 2 ¹₂ h

Distance that Elyse cycled more than Kimberly
= 2¹₂ x 2
= ⁵₂ x 2
= 7 km

Kimberly's cycling speed
= 7 x 2
= 14 km/h

Elyse's cycling speed
= 14 + 2
= 16 km/h

Distance that Elyse cycled before she stopped to wait for Kimberly
= 167 - 23
= 144 km

Duration that Elyse cycled for after she caught up with Kimberly and when she stopped to wait for Kimberly
= (144 ÷ 16) - 2¹₂
= 9 - 2¹₂
= 6¹₂ h

Distance Kimberly was from Elyse when she stopped to wait
= 2 x 6¹₂
= 13 km

Answer(s): 13 km