At 8 a.m., Simon started from City Z and travelled towards City A and his speed remained constant throughout. At 10 a.m., Zara started her journey from City Z towards City A at an average speed of 66 km/h. Zara overtook Simon at 2 p.m. After overtaking, Zara carried on her journey at the same average speed and reached at City A at 1:20 p.m.
- Find Simon'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 Zara had travelled until Zara overtook Simon
= 4 x 66
= 264 km
From 8 a.m. to 2 p.m. = 6 h
Simon's average speed
= 264 ÷ 6
= 44 km/h
(b)
From 10 a.m. to 1:20 p.m. = 3 h 20 min
1 h = 60 min
3 h 20 min = 3
20 60
h = 3
13 h
Distance between the two cities
= 3
13 x 66
=
103 x 66
= 220 km
Answer(s): (a) 44 km/h; (b) 220 km