At 5 a.m., Carl and Michael left Park L and drove towards Park M at average speeds of 97 km/h and 50 km/h respectively. Upon reaching Park M, Carl rested for 3 hours. He then headed back for Park L at an average speed of 97 km/h along the same route. Carl and Michael met each other on their way at 2 p.m.
- How far had Carl 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 Carl = 9 - 3 = 6 h
Distance covered by Carl when he met Michael
= 6 x 97
= 582 km
(b)
Distance travelled by Michael
= 9 x 50
= 450 km
Distance of the two parks
= (582 + 450) ÷ 2
= 1032 ÷ 2
= 516 km
Answer(s): (a) 582 km; (b) 516 km