At 7 a.m., Daniel started from City E and travelled towards City F and his speed remained constant throughout. At 10 a.m., Winnie started her journey from City E towards City F at an average speed of 90 km/h. Winnie overtook Daniel at 1 p.m. After overtaking, Winnie carried on her journey at the same average speed and reached at City F at 5:50 p.m.
- Find Daniel's average speed in km/h.
- What is the distance between the two cities?
(a)
From 10 a.m. to 1 p.m. = 3 h
Distance that Winnie had travelled until Winnie overtook Daniel
= 3 x 90
= 270 km
From 7 a.m. to 1 p.m. = 6 h
Daniel's average speed
= 270 ÷ 6
= 45 km/h
(b)
From 10 a.m. to 5:50 p.m. = 7 h 50 min
1 h = 60 min
7 h 50 min = 7
50 60
h = 7
56 h
Distance between the two cities
= 7
56 x 90
=
476 x 90
= 705 km
Answer(s): (a) 45 km/h; (b) 705 km