At 05 25, Yen left Town X and cycled towards Town Y. Erika left Town X and cycled towards Town Y at 05 55. Erika's cycling speed was 2 km/h faster than Yen. At 12 25, Erika caught up with Yen. Find the cycling speed of each cyclist.
- Yen
- Erika
(a)
Duration that Erika cycled from 05 55 to 12 25
= 6
3060 = 6
12 h
Distance that Erika cycled more than Yen
= 6
12 x 2
= 13 km
However, since Yen left 30 minutes earlier than Erika and Erika caught up with Yen, it means that Yen has cycled 13 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Yen's cycling speed
= 13 ÷
12 = 13 x
21 = 26 km/h
(b)
Erika's cycling speed
= 26 + 2
= 28 km/h
Answer(s): (a) 26 km/h ; (b) 28 km/h