At 7 a.m., Owen started from City E and travelled towards City F and his speed remained constant throughout. At 8 a.m., Gwen started her journey from City E towards City F at an average speed of 72 km/h. Gwen overtook Owen at 1 p.m. After overtaking, Gwen carried on her journey at the same average speed and reached at City F at 6:50 p.m.
- Find Owen'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 Gwen had travelled until Gwen overtook Owen
= 5 x 72
= 360 km
From 7 a.m. to 1 p.m. = 6 h
Owen's average speed
= 360 ÷ 6
= 60 km/h
(b)
From 8 a.m. to 6:50 p.m. = 10 h 50 min
1 h = 60 min
10 h 50 min = 10
50 60
h = 10
56 h
Distance between the two cities
= 10
56 x 72
=
656 x 72
= 780 km
Answer(s): (a) 60 km/h; (b) 780 km