At 5 a.m., Pierre and Warren left Park Z and drove towards Park A at average speeds of 78 km/h and 50 km/h respectively. Upon reaching Park A, Pierre rested for 2 hours. He then headed back for Park Z at an average speed of 78 km/h along the same route. Pierre and Warren met each other on their way at 1 p.m.
- How far had Pierre covered when he met Warren on the way?
- How far apart were the two parks?
(a)
Time taken by Warren = 8 h
Time taken by Pierre = 8 - 2 = 6 h
Distance covered by Pierre when he met Warren
= 6 x 78
= 468 km
(b)
Distance travelled by Warren
= 8 x 50
= 400 km
Distance of the two parks
= (468 + 400) ÷ 2
= 868 ÷ 2
= 434 km
Answer(s): (a) 468 km; (b) 434 km