At 6 a.m., Luke and Justin left Park R and drove towards Park S at average speeds of 89 km/h and 62 km/h respectively. Upon reaching Park S, Luke rested for 2 hours. He then headed back for Park R at an average speed of 89 km/h along the same route. Luke and Justin met each other on their way at 12 noon.
- How far had Luke covered when he met Justin on the way?
- How far apart were the two parks?
(a)
Time taken by Justin = 6 h
Time taken by Luke = 6 - 2 = 4 h
Distance covered by Luke when he met Justin
= 4 x 89
= 356 km
(b)
Distance travelled by Justin
= 6 x 62
= 372 km
Distance of the two parks
= (356 + 372) ÷ 2
= 728 ÷ 2
= 364 km
Answer(s): (a) 356 km; (b) 364 km