At 06 30, Elyse left Town E and cycled towards Town F. Yen left Town E and cycled towards Town F at 06 50. Yen's cycling speed was 3 km/h faster than Elyse. At 10 30, Yen caught up with Elyse. Find the cycling speed of each cyclist.
- Elyse
- Yen
(a)
Duration that Yen cycled from 06 50 to 10 30
= 3
4060 = 3
23 h
Distance that Yen cycled more than Elyse
= 3
23 x 3
= 11 km
However, since Elyse left 20 minutes earlier than Yen and Yen caught up with Elyse, it means that Elyse has cycled 11 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Elyse's cycling speed
= 11 ÷
13 = 11 x
31 = 33 km/h
(b)
Yen's cycling speed
= 33 + 3
= 36 km/h
Answer(s): (a) 33 km/h ; (b) 36 km/h
