At 08 15, Jen left Town R and cycled towards Town S. Vanessa left Town R and cycled towards Town S at 08 45. Vanessa's cycling speed was 8 km/h faster than Jen. At 10 15, Vanessa caught up with Jen. Find the cycling speed of each cyclist.
- Jen
- Vanessa
(a)
Duration that Vanessa cycled from 08 45 to 10 15
= 1
3060 = 1
12 h
Distance that Vanessa cycled more than Jen
= 1
12 x 8
= 12 km
However, since Jen left 30 minutes earlier than Vanessa and Vanessa caught up with Jen, it means that Jen has cycled 12 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Jen's cycling speed
= 12 ÷
12 = 12 x
21 = 24 km/h
(b)
Vanessa's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h
