At 08 15, Natalie left Town P and cycled towards Town Q. Tina left Town P and cycled towards Town Q at 08 45. Tina's cycling speed was 6 km/h faster than Natalie. At 10 15, Tina caught up with Natalie. Find the cycling speed of each cyclist.
- Natalie
- Tina
(a)
Duration that Tina cycled from 08 45 to 10 15
= 1
3060 = 1
12 h
Distance that Tina cycled more than Natalie
= 1
12 x 6
= 9 km
However, since Natalie left 30 minutes earlier than Tina and Tina caught up with Natalie, it means that Natalie has cycled 9 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Natalie's cycling speed
= 9 ÷
12 = 9 x
21 = 18 km/h
(b)
Tina's cycling speed
= 18 + 6
= 24 km/h
Answer(s): (a) 18 km/h ; (b) 24 km/h
