At 9 a.m., Luke and Justin left Park E and drove towards Park F at average speeds of 80 km/h and 64 km/h respectively. Upon reaching Park F, Luke rested for 3 hours. He then headed back for Park E at an average speed of 80 km/h along the same route. Luke and Justin met each other on their way at 1 p.m.
- How far had Luke covered when he met Justin on the way?
- How far apart were the two parks?
(a)
Time taken by Justin = 4 h
Time taken by Luke = 4 - 3 = 1 h
Distance covered by Luke when he met Justin
= 1 x 80
= 80 km
(b)
Distance travelled by Justin
= 4 x 64
= 256 km
Distance of the two parks
= (80 + 256) ÷ 2
= 336 ÷ 2
= 168 km
Answer(s): (a) 80 km; (b) 168 km