At 08 10, Erika left Town V and cycled towards Town W. Yen left Town V and cycled towards Town W at 08 30. Yen's cycling speed was 3 km/h faster than Erika. At 12 10, Yen caught up with Erika. Find the cycling speed of each cyclist.
- Erika
- Yen
(a)
Duration that Yen cycled from 08 30 to 12 10
= 3
4060 = 3
23 h
Distance that Yen cycled more than Erika
= 3
23 x 3
= 11 km
However, since Erika left 20 minutes earlier than Yen and Yen caught up with Erika, it means that Erika has cycled 11 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Erika'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