The distance between Town Q and Town R was 181 km. At 07 00, Elyse left Town Q and cycled towards Town R. Min left Town Q and cycled towards Town R at 07 40. Min's cycling speed was 3 km/h faster than Elyse. At 12 00, Min caught up with Elyse. When Min was 37 km from Town R, she stopped to wait for Elyse. How far was Elyse from Min when she stopped to wait for him?
Duration in which Min cycled for before she caught up with Elyse
= from 07 40 to 12 00
= 4 h 20 min
= 4 ²⁰₆₀ h
= 4 ¹₃ h

Distance that Min cycled more than Elyse
= 4¹₃ x 3
= ¹³₃ x 3
= 7 km

Elyse's cycling speed
= 7 x 3
= 21 km/h

Min's cycling speed
= 21 + 3
= 24 km/h

Distance that Min cycled before she stopped to wait for Elyse
= 181 - 37
= 144 km

Duration that Min cycled for after she caught up with Elyse and when she stopped to wait for Elyse
= (144 ÷ 24) - 4¹₃
= 6 - 4¹₃
= 1²₃ h

Distance Elyse was from Min when she stopped to wait
= 3 x 1²₃
= 5 km

Answer(s): 5 km