At 09 10, Jade left Town R and cycled towards Town S. Nicole left Town R and cycled towards Town S at 09 55. Nicole's cycling speed was 8 km/h faster than Jade. At 12 10, Nicole caught up with Jade. Find the cycling speed of each cyclist.
- Jade
- Nicole
(a)
Duration that Nicole cycled from 09 55 to 12 10
= 2
1560 = 2
14 h
Distance that Nicole cycled more than Jade
= 2
14 x 8
= 18 km
However, since Jade left 45 minutes earlier than Nicole and Nicole caught up with Jade, it means that Jade has cycled 18 km in 45 min.
1 h = 60 min
45 min = 45 ÷ 60 =
34 h
Jade's cycling speed
= 18 ÷
34 = 18 x
43 = 24 km/h
(b)
Nicole's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h
