At 06 15, Zoe left Town X and cycled towards Town Y. Yen left Town X and cycled towards Town Y at 06 55. Yen's cycling speed was 6 km/h faster than Zoe. At 10 15, Yen caught up with Zoe. Find the cycling speed of each cyclist.
- Zoe
- Yen
(a)
Duration that Yen cycled from 06 55 to 10 15
= 3
2060 = 3
13 h
Distance that Yen cycled more than Zoe
= 3
13 x 6
= 20 km
However, since Zoe left 40 minutes earlier than Yen and Yen caught up with Zoe, it means that Zoe has cycled 20 km in 40 min.
1 h = 60 min
40 min = 40 ÷ 60 =
23 h
Zoe's cycling speed
= 20 ÷
23 = 20 x
32 = 30 km/h
(b)
Yen's cycling speed
= 30 + 6
= 36 km/h
Answer(s): (a) 30 km/h ; (b) 36 km/h
