At 7 a.m., Paul and Caden left Park U and drove towards Park V at average speeds of 84 km/h and 57 km/h respectively. Upon reaching Park V, Paul rested for 3 hours. He then headed back for Park U at an average speed of 84 km/h along the same route. Paul and Caden met each other on their way at 1 p.m.
- How far had Paul covered when he met Caden on the way?
- How far apart were the two parks?
(a)
Time taken by Caden = 6 h
Time taken by Paul = 6 - 3 = 3 h
Distance covered by Paul when he met Caden
= 3 x 84
= 252 km
(b)
Distance travelled by Caden
= 6 x 57
= 342 km
Distance of the two parks
= (252 + 342) ÷ 2
= 594 ÷ 2
= 297 km
Answer(s): (a) 252 km; (b) 297 km