At 6 a.m., Archie and Pierre left Park B and drove towards Park C at average speeds of 100 km/h and 50 km/h respectively. Upon reaching Park C, Archie rested for 3 hours. He then headed back for Park B at an average speed of 100 km/h along the same route. Archie and Pierre met each other on their way at 12 noon.
- How far had Archie covered when he met Pierre on the way?
- How far apart were the two parks?
(a)
Time taken by Pierre = 6 h
Time taken by Archie = 6 - 3 = 3 h
Distance covered by Archie when he met Pierre
= 3 x 100
= 300 km
(b)
Distance travelled by Pierre
= 6 x 50
= 300 km
Distance of the two parks
= (300 + 300) ÷ 2
= 600 ÷ 2
= 300 km
Answer(s): (a) 300 km; (b) 300 km
