At 8 a.m., Nick and Michael left Park D and drove towards Park E at average speeds of 96 km/h and 54 km/h respectively. Upon reaching Park E, Nick rested for 3 hours. He then headed back for Park D at an average speed of 96 km/h along the same route. Nick and Michael met each other on their way at 1 p.m.
- How far had Nick 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 Nick = 5 - 3 = 2 h
Distance covered by Nick when he met Michael
= 2 x 96
= 192 km
(b)
Distance travelled by Michael
= 5 x 54
= 270 km
Distance of the two parks
= (192 + 270) ÷ 2
= 462 ÷ 2
= 231 km
Answer(s): (a) 192 km; (b) 231 km