At 9 a.m., Pierre and Jack left Park M and drove towards Park N at average speeds of 82 km/h and 55 km/h respectively. Upon reaching Park N, Pierre rested for 2 hours. He then headed back for Park M at an average speed of 82 km/h along the same route. Pierre and Jack met each other on their way at 1 p.m.
- How far had Pierre covered when he met Jack on the way?
- How far apart were the two parks?
(a)
Time taken by Jack = 4 h
Time taken by Pierre = 4 - 2 = 2 h
Distance covered by Pierre when he met Jack
= 2 x 82
= 164 km
(b)
Distance travelled by Jack
= 4 x 55
= 220 km
Distance of the two parks
= (164 + 220) ÷ 2
= 384 ÷ 2
= 192 km
Answer(s): (a) 164 km; (b) 192 km