At 7 a.m., Liam started from City T and travelled towards City U and his speed remained constant throughout. At 8 a.m., Pamela started her journey from City T towards City U at an average speed of 66 km/h. Pamela overtook Liam at 1 p.m. After overtaking, Pamela carried on her journey at the same average speed and reached at City U at 6:20 p.m.
- Find Liam's average speed in km/h.
- What is the distance between the two cities?
(a)
From 8 a.m. to 1 p.m. = 5 h
Distance that Pamela had travelled until Pamela overtook Liam
= 5 x 66
= 330 km
From 7 a.m. to 1 p.m. = 6 h
Liam's average speed
= 330 ÷ 6
= 55 km/h
(b)
From 8 a.m. to 6:20 p.m. = 10 h 20 min
1 h = 60 min
10 h 20 min = 10
20 60
h = 10
13 h
Distance between the two cities
= 10
13 x 66
=
313 x 66
= 682 km
Answer(s): (a) 55 km/h; (b) 682 km