At 9 a.m., Luis and Michael left Park L and drove towards Park M at average speeds of 87 km/h and 58 km/h respectively. Upon reaching Park M, Luis rested for 3 hours. He then headed back for Park L at an average speed of 87 km/h along the same route. Luis and Michael met each other on their way at 2 p.m.
- How far had Luis covered when he met Michael on the way?
- How far apart were the two parks?
(a)
Time taken by Michael = 5 h
Time taken by Luis = 5 - 3 = 2 h
Distance covered by Luis when he met Michael
= 2 x 87
= 174 km
(b)
Distance travelled by Michael
= 5 x 58
= 290 km
Distance of the two parks
= (174 + 290) ÷ 2
= 464 ÷ 2
= 232 km
Answer(s): (a) 174 km; (b) 232 km