At 5 a.m., Brandon and David left Park X and drove towards Park Y at average speeds of 97 km/h and 64 km/h respectively. Upon reaching Park Y, Brandon rested for 2 hours. He then headed back for Park X at an average speed of 97 km/h along the same route. Brandon and David met each other on their way at 1 p.m.
- How far had Brandon covered when he met David on the way?
- How far apart were the two parks?
(a)
Time taken by David = 8 h
Time taken by Brandon = 8 - 2 = 6 h
Distance covered by Brandon when he met David
= 6 x 97
= 582 km
(b)
Distance travelled by David
= 8 x 64
= 512 km
Distance of the two parks
= (582 + 512) ÷ 2
= 1094 ÷ 2
= 547 km
Answer(s): (a) 582 km; (b) 547 km