The distance between Town V and Town W was 196 km. At 05 00, Cathy left Town V and cycled towards Town W. Lynn left Town V and cycled towards Town W at 05 15. Lynn's cycling speed was 4 km/h faster than Cathy. At 9 00, Lynn caught up with Cathy. When Lynn was 28 km from Town W, she stopped to wait for Cathy. How far was Cathy from Lynn when she stopped to wait for him?
Duration in which Lynn cycled for before she caught up with Cathy
= from 05 15 to 9 00
= 3 h 45 min
= 3 ⁴⁵₆₀ h
= 3 ³₄ h

Distance that Lynn cycled more than Cathy
= 3³₄ x 4
= ¹⁵₄ x 4
= 5 km

Cathy's cycling speed
= 5 x 4
= 20 km/h

Lynn's cycling speed
= 20 + 4
= 24 km/h

Distance that Lynn cycled before she stopped to wait for Cathy
= 196 - 28
= 168 km

Duration that Lynn cycled for after she caught up with Cathy and when she stopped to wait for Cathy
= (168 ÷ 24) - 3³₄
= 7 - 3³₄
= 3¹₄ h

Distance Cathy was from Lynn when she stopped to wait
= 4 x 3¹₄
= 13 km

Answer(s): 13 km