At 5 a.m., Cole and Michael left Park K and drove towards Park L at average speeds of 100 km/h and 54 km/h respectively. Upon reaching Park L, Cole rested for 3 hours. He then headed back for Park K at an average speed of 100 km/h along the same route. Cole and Michael met each other on their way at 2 p.m.
- How far had Cole covered when he met Michael on the way?
- How far apart were the two parks?
(a)
Time taken by Michael = 9 h
Time taken by Cole = 9 - 3 = 6 h
Distance covered by Cole when he met Michael
= 6 x 100
= 600 km
(b)
Distance travelled by Michael
= 9 x 54
= 486 km
Distance of the two parks
= (600 + 486) ÷ 2
= 1086 ÷ 2
= 543 km
Answer(s): (a) 600 km; (b) 543 km