At 5 a.m., Ethan and Xavier left Park K and drove towards Park L at average speeds of 81 km/h and 63 km/h respectively. Upon reaching Park L, Ethan rested for 2 hours. He then headed back for Park K at an average speed of 81 km/h along the same route. Ethan and Xavier met each other on their way at 2 p.m.
- How far had Ethan covered when he met Xavier on the way?
- How far apart were the two parks?
(a)
Time taken by Xavier = 9 h
Time taken by Ethan = 9 - 2 = 7 h
Distance covered by Ethan when he met Xavier
= 7 x 81
= 567 km
(b)
Distance travelled by Xavier
= 9 x 63
= 567 km
Distance of the two parks
= (567 + 567) ÷ 2
= 1134 ÷ 2
= 567 km
Answer(s): (a) 567 km; (b) 567 km