At 5 a.m., Luke and Zeph left Park Y and drove towards Park Z at average speeds of 71 km/h and 54 km/h respectively. Upon reaching Park Z, Luke rested for 2 hours. He then headed back for Park Y at an average speed of 71 km/h along the same route. Luke and Zeph met each other on their way at 1 p.m.
- How far had Luke covered when he met Zeph on the way?
- How far apart were the two parks?
(a)
Time taken by Zeph = 8 h
Time taken by Luke = 8 - 2 = 6 h
Distance covered by Luke when he met Zeph
= 6 x 71
= 426 km
(b)
Distance travelled by Zeph
= 8 x 54
= 432 km
Distance of the two parks
= (426 + 432) ÷ 2
= 858 ÷ 2
= 429 km
Answer(s): (a) 426 km; (b) 429 km