The distance between Town X and Town Y was 192 km. At 05 00, Jen left Town X and cycled towards Town Y. Vanessa left Town X and cycled towards Town Y at 05 40. Vanessa's cycling speed was 3 km/h faster than Jen. At 9 00, Vanessa caught up with Jen. When Vanessa was 30 km from Town Y, she stopped to wait for Jen. How far was Jen from Vanessa when she stopped to wait for him?
Duration in which Vanessa cycled for before she caught up with Jen
= from 05 40 to 9 00
= 3 h 20 min
= 3 ²⁰₆₀ h
= 3 ¹₃ h

Distance that Vanessa cycled more than Jen
= 3¹₃ x 3
= ¹⁰₃ x 3
= 5 km

Jen's cycling speed
= 5 x 3
= 15 km/h

Vanessa's cycling speed
= 15 + 3
= 18 km/h

Distance that Vanessa cycled before she stopped to wait for Jen
= 192 - 30
= 162 km

Duration that Vanessa cycled for after she caught up with Jen and when she stopped to wait for Jen
= (162 ÷ 18) - 3¹₃
= 9 - 3¹₃
= 5²₃ h

Distance Jen was from Vanessa when she stopped to wait
= 3 x 5²₃
= 17 km

Answer(s): 17 km