At 7 a.m., Luke and Carl left Park G and drove towards Park H at average speeds of 92 km/h and 58 km/h respectively. Upon reaching Park H, Luke rested for 3 hours. He then headed back for Park G at an average speed of 92 km/h along the same route. Luke and Carl met each other on their way at 12 noon.
- How far had Luke covered when he met Carl on the way?
- How far apart were the two parks?
(a)
Time taken by Carl = 5 h
Time taken by Luke = 5 - 3 = 2 h
Distance covered by Luke when he met Carl
= 2 x 92
= 184 km
(b)
Distance travelled by Carl
= 5 x 58
= 290 km
Distance of the two parks
= (184 + 290) ÷ 2
= 474 ÷ 2
= 237 km
Answer(s): (a) 184 km; (b) 237 km