At 5 a.m., Luke and Asher left Park G and drove towards Park H at average speeds of 88 km/h and 61 km/h respectively. Upon reaching Park H, Luke rested for 2 hours. He then headed back for Park G at an average speed of 88 km/h along the same route. Luke and Asher met each other on their way at 1 p.m.
- How far had Luke covered when he met Asher on the way?
- How far apart were the two parks?
(a)
Time taken by Asher = 8 h
Time taken by Luke = 8 - 2 = 6 h
Distance covered by Luke when he met Asher
= 6 x 88
= 528 km
(b)
Distance travelled by Asher
= 8 x 61
= 488 km
Distance of the two parks
= (528 + 488) ÷ 2
= 1016 ÷ 2
= 508 km
Answer(s): (a) 528 km; (b) 508 km