At 9 a.m., Michael and Luis left Park H and drove towards Park J at average speeds of 98 km/h and 61 km/h respectively. Upon reaching Park J, Michael rested for 3 hours. He then headed back for Park H at an average speed of 98 km/h along the same route. Michael and Luis met each other on their way at 1 p.m.
- How far had Michael covered when he met Luis on the way?
- How far apart were the two parks?
(a)
Time taken by Luis = 4 h
Time taken by Michael = 4 - 3 = 1 h
Distance covered by Michael when he met Luis
= 1 x 98
= 98 km
(b)
Distance travelled by Luis
= 4 x 61
= 244 km
Distance of the two parks
= (98 + 244) ÷ 2
= 342 ÷ 2
= 171 km
Answer(s): (a) 98 km; (b) 171 km