At 5 a.m., Pierre and Albert left Park C and drove towards Park D at average speeds of 78 km/h and 54 km/h respectively. Upon reaching Park D, Pierre rested for 2 hours. He then headed back for Park C at an average speed of 78 km/h along the same route. Pierre and Albert met each other on their way at 12 noon.
- How far had Pierre covered when he met Albert on the way?
- How far apart were the two parks?
(a)
Time taken by Albert = 7 h
Time taken by Pierre = 7 - 2 = 5 h
Distance covered by Pierre when he met Albert
= 5 x 78
= 390 km
(b)
Distance travelled by Albert
= 7 x 54
= 378 km
Distance of the two parks
= (390 + 378) ÷ 2
= 768 ÷ 2
= 384 km
Answer(s): (a) 390 km; (b) 384 km