At 6 a.m., Liam and Michael left Park A and drove towards Park B at average speeds of 92 km/h and 51 km/h respectively. Upon reaching Park B, Liam rested for 2 hours. He then headed back for Park A at an average speed of 92 km/h along the same route. Liam and Michael met each other on their way at 2 p.m.
- How far had Liam covered when he met Michael on the way?
- How far apart were the two parks?
(a)
Time taken by Michael = 8 h
Time taken by Liam = 8 - 2 = 6 h
Distance covered by Liam when he met Michael
= 6 x 92
= 552 km
(b)
Distance travelled by Michael
= 8 x 51
= 408 km
Distance of the two parks
= (552 + 408) ÷ 2
= 960 ÷ 2
= 480 km
Answer(s): (a) 552 km; (b) 480 km