At 6 a.m., Ethan and Archie left Park L and drove towards Park M at average speeds of 84 km/h and 51 km/h respectively. Upon reaching Park M, Ethan rested for 2 hours. He then headed back for Park L at an average speed of 84 km/h along the same route. Ethan and Archie met each other on their way at 12 noon.
- How far had Ethan covered when he met Archie on the way?
- How far apart were the two parks?
(a)
Time taken by Archie = 6 h
Time taken by Ethan = 6 - 2 = 4 h
Distance covered by Ethan when he met Archie
= 4 x 84
= 336 km
(b)
Distance travelled by Archie
= 6 x 51
= 306 km
Distance of the two parks
= (336 + 306) ÷ 2
= 642 ÷ 2
= 321 km
Answer(s): (a) 336 km; (b) 321 km