At 6 a.m., Luis and Caden left Park X and drove towards Park Y at average speeds of 81 km/h and 54 km/h respectively. Upon reaching Park Y, Luis rested for 3 hours. He then headed back for Park X at an average speed of 81 km/h along the same route. Luis and Caden met each other on their way at 1 p.m.
- How far had Luis covered when he met Caden on the way?
- How far apart were the two parks?
(a)
Time taken by Caden = 7 h
Time taken by Luis = 7 - 3 = 4 h
Distance covered by Luis when he met Caden
= 4 x 81
= 324 km
(b)
Distance travelled by Caden
= 7 x 54
= 378 km
Distance of the two parks
= (324 + 378) ÷ 2
= 702 ÷ 2
= 351 km
Answer(s): (a) 324 km; (b) 351 km