At 9 a.m., Brandon and Ethan left Park P and drove towards Park Q at average speeds of 100 km/h and 62 km/h respectively. Upon reaching Park Q, Brandon rested for 2 hours. He then headed back for Park P at an average speed of 100 km/h along the same route. Brandon and Ethan met each other on their way at 2 p.m.
- How far had Brandon covered when he met Ethan on the way?
- How far apart were the two parks?
(a)
Time taken by Ethan = 5 h
Time taken by Brandon = 5 - 2 = 3 h
Distance covered by Brandon when he met Ethan
= 3 x 100
= 300 km
(b)
Distance travelled by Ethan
= 5 x 62
= 310 km
Distance of the two parks
= (300 + 310) ÷ 2
= 610 ÷ 2
= 305 km
Answer(s): (a) 300 km; (b) 305 km