At 6 a.m., Luis and Michael left Park Z and drove towards Park A at average speeds of 94 km/h and 52 km/h respectively. Upon reaching Park A, Luis rested for 2 hours. He then headed back for Park Z at an average speed of 94 km/h along the same route. Luis and Michael met each other on their way at 12 noon.
- How far had Luis covered when he met Michael on the way?
- How far apart were the two parks?
(a)
Time taken by Michael = 6 h
Time taken by Luis = 6 - 2 = 4 h
Distance covered by Luis when he met Michael
= 4 x 94
= 376 km
(b)
Distance travelled by Michael
= 6 x 52
= 312 km
Distance of the two parks
= (376 + 312) ÷ 2
= 688 ÷ 2
= 344 km
Answer(s): (a) 376 km; (b) 344 km