The distance between Town T and Town U was 193 km. At 05 00, Jen left Town T and cycled towards Town U. Jade left Town T and cycled towards Town U at 05 45. Jade's cycling speed was 4 km/h faster than Jen. At 10 00, Jade caught up with Jen. When Jade was 25 km from Town U, she stopped to wait for Jen. How far was Jen from Jade when she stopped to wait for him?
Duration in which Jade cycled for before she caught up with Jen
= from 05 45 to 10 00
= 4 h 15 min
= 4 ¹⁵₆₀ h
= 4 ¹₄ h

Distance that Jade cycled more than Jen
= 4¹₄ x 4
= ¹⁷₄ x 4
= 5 km

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

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

Distance that Jade cycled before she stopped to wait for Jen
= 193 - 25
= 168 km

Duration that Jade cycled for after she caught up with Jen and when she stopped to wait for Jen
= (168 ÷ 24) - 4¹₄
= 7 - 4¹₄
= 2³₄ h

Distance Jen was from Jade when she stopped to wait
= 4 x 2³₄
= 11 km

Answer(s): 11 km