At 6 a.m., Charlie and Archie left Park Y and drove towards Park Z at average speeds of 100 km/h and 58 km/h respectively. Upon reaching Park Z, Charlie rested for 3 hours. He then headed back for Park Y at an average speed of 100 km/h along the same route. Charlie and Archie met each other on their way at 1 p.m.
- How far had Charlie covered when he met Archie on the way?
- How far apart were the two parks?
(a)
Time taken by Archie = 7 h
Time taken by Charlie = 7 - 3 = 4 h
Distance covered by Charlie when he met Archie
= 4 x 100
= 400 km
(b)
Distance travelled by Archie
= 7 x 58
= 406 km
Distance of the two parks
= (400 + 406) ÷ 2
= 806 ÷ 2
= 403 km
Answer(s): (a) 400 km; (b) 403 km