At 5 a.m., Pierre and Bobby left Park Z and drove towards Park A at average speeds of 82 km/h and 60 km/h respectively. Upon reaching Park A, Pierre rested for 3 hours. He then headed back for Park Z at an average speed of 82 km/h along the same route. Pierre and Bobby met each other on their way at 12 noon.
- How far had Pierre covered when he met Bobby on the way?
- How far apart were the two parks?
(a)
Time taken by Bobby = 7 h
Time taken by Pierre = 7 - 3 = 4 h
Distance covered by Pierre when he met Bobby
= 4 x 82
= 328 km
(b)
Distance travelled by Bobby
= 7 x 60
= 420 km
Distance of the two parks
= (328 + 420) ÷ 2
= 748 ÷ 2
= 374 km
Answer(s): (a) 328 km; (b) 374 km