At 05 15, Lucy left Town Y and cycled towards Town Z. Wendy left Town Y and cycled towards Town Z at 05 55. Wendy's cycling speed was 3 km/h faster than Lucy. At 13 15, Wendy caught up with Lucy. Find the cycling speed of each cyclist.
- Lucy
- Wendy
(a)
Duration that Wendy cycled from 05 55 to 13 15
= 7
2060 = 7
13 h
Distance that Wendy cycled more than Lucy
= 7
13 x 3
= 22 km
However, since Lucy left 40 minutes earlier than Wendy and Wendy caught up with Lucy, it means that Lucy has cycled 22 km in 40 min.
1 h = 60 min
40 min = 40 ÷ 60 =
23 h
Lucy's cycling speed
= 22 ÷
23 = 22 x
32 = 33 km/h
(b)
Wendy's cycling speed
= 33 + 3
= 36 km/h
Answer(s): (a) 33 km/h ; (b) 36 km/h
