At 09 15, Natalie left Town P and cycled towards Town Q. Eva left Town P and cycled towards Town Q at 09 55. Eva's cycling speed was 3 km/h faster than Natalie. At 15 15, Eva caught up with Natalie. Find the cycling speed of each cyclist.
- Natalie
- Eva
(a)
Duration that Eva cycled from 09 55 to 15 15
= 5
2060 = 5
13 h
Distance that Eva cycled more than Natalie
= 5
13 x 3
= 16 km
However, since Natalie left 40 minutes earlier than Eva and Eva caught up with Natalie, it means that Natalie has cycled 16 km in 40 min.
1 h = 60 min
40 min = 40 ÷ 60 =
23 h
Natalie's cycling speed
= 16 ÷
23 = 16 x
32 = 24 km/h
(b)
Eva's cycling speed
= 24 + 3
= 27 km/h
Answer(s): (a) 24 km/h ; (b) 27 km/h
