At 06 15, Gabby left Town Y and cycled towards Town Z. Lucy left Town Y and cycled towards Town Z at 06 45. Lucy's cycling speed was 2 km/h faster than Gabby. At 15 15, Lucy caught up with Gabby. Find the cycling speed of each cyclist.
- Gabby
- Lucy
(a)
Duration that Lucy cycled from 06 45 to 15 15
= 8
3060 = 8
12 h
Distance that Lucy cycled more than Gabby
= 8
12 x 2
= 17 km
However, since Gabby left 30 minutes earlier than Lucy and Lucy caught up with Gabby, it means that Gabby has cycled 17 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Gabby's cycling speed
= 17 ÷
12 = 17 x
21 = 34 km/h
(b)
Lucy's cycling speed
= 34 + 2
= 36 km/h
Answer(s): (a) 34 km/h ; (b) 36 km/h
