At 7 a.m., Caden and Brandon left Park P and drove towards Park Q at average speeds of 80 km/h and 51 km/h respectively. Upon reaching Park Q, Caden rested for 3 hours. He then headed back for Park P at an average speed of 80 km/h along the same route. Caden and Brandon met each other on their way at 1 p.m.
- How far had Caden covered when he met Brandon on the way?
- How far apart were the two parks?
(a)
Time taken by Brandon = 6 h
Time taken by Caden = 6 - 3 = 3 h
Distance covered by Caden when he met Brandon
= 3 x 80
= 240 km
(b)
Distance travelled by Brandon
= 6 x 51
= 306 km
Distance of the two parks
= (240 + 306) ÷ 2
= 546 ÷ 2
= 273 km
Answer(s): (a) 240 km; (b) 273 km