At 08 35, Jen left Town E and cycled towards Town F. Marion left Town E and cycled towards Town F at 08 55. Marion's cycling speed was 3 km/h faster than Jen. At 11 35, Marion caught up with Jen. Find the cycling speed of each cyclist.
- Jen
- Marion
(a)
Duration that Marion cycled from 08 55 to 11 35
= 2
4060 = 2
23 h
Distance that Marion cycled more than Jen
= 2
23 x 3
= 8 km
However, since Jen left 20 minutes earlier than Marion and Marion caught up with Jen, it means that Jen has cycled 8 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Jen's cycling speed
= 8 ÷
13 = 8 x
31 = 24 km/h
(b)
Marion's cycling speed
= 24 + 3
= 27 km/h
Answer(s): (a) 24 km/h ; (b) 27 km/h
