At 7 a.m., Luis and Liam left Park J and drove towards Park K at average speeds of 75 km/h and 61 km/h respectively. Upon reaching Park K, Luis rested for 2 hours. He then headed back for Park J at an average speed of 75 km/h along the same route. Luis and Liam met each other on their way at 2 p.m.
- How far had Luis covered when he met Liam on the way?
- How far apart were the two parks?
(a)
Time taken by Liam = 7 h
Time taken by Luis = 7 - 2 = 5 h
Distance covered by Luis when he met Liam
= 5 x 75
= 375 km
(b)
Distance travelled by Liam
= 7 x 61
= 427 km
Distance of the two parks
= (375 + 427) ÷ 2
= 802 ÷ 2
= 401 km
Answer(s): (a) 375 km; (b) 401 km