At 8 a.m., Ian started from City K and travelled towards City L and his speed remained constant throughout. At 10 a.m., Jane started her journey from City K towards City L at an average speed of 84 km/h. Jane overtook Ian at 2 p.m. After overtaking, Jane carried on her journey at the same average speed and reached at City L at 1:35 p.m.
- Find Ian's average speed in km/h.
- What is the distance between the two cities?
(a)
From 10 a.m. to 2 p.m. = 4 h
Distance that Jane had travelled until Jane overtook Ian
= 4 x 84
= 336 km
From 8 a.m. to 2 p.m. = 6 h
Ian's average speed
= 336 ÷ 6
= 56 km/h
(b)
From 10 a.m. to 1:35 p.m. = 3 h 35 min
1 h = 60 min
3 h 35 min = 3
35 60
h = 3
712 h
Distance between the two cities
= 3
712 x 84
=
4312 x 84
= 301 km
Answer(s): (a) 56 km/h; (b) 301 km