At 07 30, Lynn left Town Q and cycled towards Town R. Tiffany left Town Q and cycled towards Town R at 07 50. Tiffany's cycling speed was 3 km/h faster than Lynn. At 10 30, Tiffany caught up with Lynn. Find the cycling speed of each cyclist.
- Lynn
- Tiffany
(a)
Duration that Tiffany cycled from 07 50 to 10 30
= 2
4060 = 2
23 h
Distance that Tiffany cycled more than Lynn
= 2
23 x 3
= 8 km
However, since Lynn left 20 minutes earlier than Tiffany and Tiffany caught up with Lynn, it means that Lynn has cycled 8 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Lynn's cycling speed
= 8 ÷
13 = 8 x
31 = 24 km/h
(b)
Tiffany's cycling speed
= 24 + 3
= 27 km/h
Answer(s): (a) 24 km/h ; (b) 27 km/h
