At 07 10, Tina left Town W and cycled towards Town X. Xandra left Town W and cycled towards Town X at 07 40. Xandra's cycling speed was 6 km/h faster than Tina. At 10 10, Xandra caught up with Tina. Find the cycling speed of each cyclist.
- Tina
- Xandra
(a)
Duration that Xandra cycled from 07 40 to 10 10
= 2
3060 = 2
12 h
Distance that Xandra cycled more than Tina
= 2
12 x 6
= 15 km
However, since Tina left 30 minutes earlier than Xandra and Xandra caught up with Tina, it means that Tina has cycled 15 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Tina's cycling speed
= 15 ÷
12 = 15 x
21 = 30 km/h
(b)
Xandra's cycling speed
= 30 + 6
= 36 km/h
Answer(s): (a) 30 km/h ; (b) 36 km/h
