At 9 a.m., Ivan started from City Q and travelled towards City R and his speed remained constant throughout. At 10 a.m., Shannon started her journey from City Q towards City R at an average speed of 84 km/h. Shannon overtook Ivan at 1 p.m. After overtaking, Shannon carried on her journey at the same average speed and reached at City R at 6:35 p.m.
- Find Ivan'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 Shannon had travelled until Shannon overtook Ivan
= 3 x 84
= 252 km
From 9 a.m. to 1 p.m. = 4 h
Ivan's average speed
= 252 ÷ 4
= 63 km/h
(b)
From 10 a.m. to 6:35 p.m. = 8 h 35 min
1 h = 60 min
8 h 35 min = 8
35 60
h = 8
712 h
Distance between the two cities
= 8
712 x 84
=
10312 x 84
= 721 km
Answer(s): (a) 63 km/h; (b) 721 km