At 8 a.m., Luke and Billy left Park D and drove towards Park E at average speeds of 91 km/h and 60 km/h respectively. Upon reaching Park E, Luke rested for 3 hours. He then headed back for Park D at an average speed of 91 km/h along the same route. Luke and Billy met each other on their way at 1 p.m.
- How far had Luke covered when he met Billy on the way?
- How far apart were the two parks?
(a)
Time taken by Billy = 5 h
Time taken by Luke = 5 - 3 = 2 h
Distance covered by Luke when he met Billy
= 2 x 91
= 182 km
(b)
Distance travelled by Billy
= 5 x 60
= 300 km
Distance of the two parks
= (182 + 300) ÷ 2
= 482 ÷ 2
= 241 km
Answer(s): (a) 182 km; (b) 241 km