At 06 10, Opal left Town S and cycled towards Town T. Vanessa left Town S and cycled towards Town T at 06 40. Vanessa's cycling speed was 2 km/h faster than Opal. At 10 10, Vanessa caught up with Opal. Find the cycling speed of each cyclist.
- Opal
- Vanessa
(a)
Duration that Vanessa cycled from 06 40 to 10 10
= 3
3060 = 3
12 h
Distance that Vanessa cycled more than Opal
= 3
12 x 2
= 7 km
However, since Opal left 30 minutes earlier than Vanessa and Vanessa caught up with Opal, it means that Opal has cycled 7 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Opal's cycling speed
= 7 ÷
12 = 7 x
21 = 14 km/h
(b)
Vanessa's cycling speed
= 14 + 2
= 16 km/h
Answer(s): (a) 14 km/h ; (b) 16 km/h
