At 06 20, Zara left Town L and cycled towards Town M. Gabby left Town L and cycled towards Town M at 06 50. Gabby's cycling speed was 4 km/h faster than Zara. At 11 20, Gabby caught up with Zara. Find the cycling speed of each cyclist.
- Zara
- Gabby
(a)
Duration that Gabby cycled from 06 50 to 11 20
= 4
3060 = 4
12 h
Distance that Gabby cycled more than Zara
= 4
12 x 4
= 18 km
However, since Zara left 30 minutes earlier than Gabby and Gabby 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)
Gabby's cycling speed
= 36 + 4
= 40 km/h
Answer(s): (a) 36 km/h ; (b) 40 km/h