At 08 10, Kimberly left Town K and cycled towards Town L. Opal left Town K and cycled towards Town L at 08 55. Opal's cycling speed was 4 km/h faster than Kimberly. At 11 10, Opal caught up with Kimberly. Find the cycling speed of each cyclist.
- Kimberly
- Opal
(a)
Duration that Opal cycled from 08 55 to 11 10
= 2
1560 = 2
14 h
Distance that Opal cycled more than Kimberly
= 2
14 x 4
= 9 km
However, since Kimberly left 45 minutes earlier than Opal and Opal caught up with Kimberly, it means that Kimberly has cycled 9 km in 45 min.
1 h = 60 min
45 min = 45 ÷ 60 =
34 h
Kimberly's cycling speed
= 9 ÷
34 = 9 x
43 = 12 km/h
(b)
Opal's cycling speed
= 12 + 4
= 16 km/h
Answer(s): (a) 12 km/h ; (b) 16 km/h