At 08 15, Tammy left Town H and cycled towards Town J. Lucy left Town H and cycled towards Town J at 08 30. Lucy's cycling speed was 4 km/h faster than Tammy. At 10 15, Lucy caught up with Tammy. Find the cycling speed of each cyclist.
- Tammy
- Lucy
(a)
Duration that Lucy cycled from 08 30 to 10 15
= 1
4560 = 1
34 h
Distance that Lucy cycled more than Tammy
= 1
34 x 4
= 7 km
However, since Tammy left 15 minutes earlier than Lucy and Lucy caught up with Tammy, it means that Tammy has cycled 7 km in 15 min.
1 h = 60 min
15 min = 15 ÷ 60 =
14 h
Tammy's cycling speed
= 7 ÷
14 = 7 x
41 = 28 km/h
(b)
Lucy's cycling speed
= 28 + 4
= 32 km/h
Answer(s): (a) 28 km/h ; (b) 32 km/h
