At 8 a.m., Gabriel started from City R and travelled towards City S and his speed remained constant throughout. At 9 a.m., Olivia started her journey from City R towards City S at an average speed of 80 km/h. Olivia overtook Gabriel at 1 p.m. After overtaking, Olivia carried on her journey at the same average speed and reached at City S at 3:15 p.m.
- Find Gabriel's average speed in km/h.
- What is the distance between the two cities?
(a)
From 9 a.m. to 1 p.m. = 4 h
Distance that Olivia had travelled until Olivia overtook Gabriel
= 4 x 80
= 320 km
From 8 a.m. to 1 p.m. = 5 h
Gabriel's average speed
= 320 ÷ 5
= 64 km/h
(b)
From 9 a.m. to 3:15 p.m. = 6 h 15 min
1 h = 60 min
6 h 15 min = 6
15 60
h = 6
14 h
Distance between the two cities
= 6
14 x 80
=
254 x 80
= 500 km
Answer(s): (a) 64 km/h; (b) 500 km