At 08 15, Linda left Town D and cycled towards Town E. Ivory left Town D and cycled towards Town E at 08 45. Ivory's cycling speed was 6 km/h faster than Linda. At 11 15, Ivory caught up with Linda. Find the cycling speed of each cyclist.
- Linda
- Ivory
(a)
Duration that Ivory cycled from 08 45 to 11 15
= 2
3060 = 2
12 h
Distance that Ivory cycled more than Linda
= 2
12 x 6
= 15 km
However, since Linda left 30 minutes earlier than Ivory and Ivory caught up with Linda, it means that Linda has cycled 15 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Linda's cycling speed
= 15 ÷
12 = 15 x
21 = 30 km/h
(b)
Ivory's cycling speed
= 30 + 6
= 36 km/h
Answer(s): (a) 30 km/h ; (b) 36 km/h