At 07 15, Zara left Town L and cycled towards Town M. Elyse left Town L and cycled towards Town M at 07 45. Elyse's cycling speed was 4 km/h faster than Zara. At 12 15, Elyse caught up with Zara. Find the cycling speed of each cyclist.
- Zara
- Elyse
(a)
Duration that Elyse cycled from 07 45 to 12 15
= 4
3060 = 4
12 h
Distance that Elyse cycled more than Zara
= 4
12 x 4
= 18 km
However, since Zara left 30 minutes earlier than Elyse and Elyse caught up with Zara, it means that Zara has cycled 18 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Zara's cycling speed
= 18 ÷
12 = 18 x
21 = 36 km/h
(b)
Elyse's cycling speed
= 36 + 4
= 40 km/h
Answer(s): (a) 36 km/h ; (b) 40 km/h
