At 6 a.m., Pierre and Valen left Park C and drove towards Park D at average speeds of 83 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 83 km/h along the same route. Pierre and Valen met each other on their way at 2 p.m.
- How far had Pierre covered when he met Valen on the way?
- How far apart were the two parks?
(a)
Time taken by Valen = 8 h
Time taken by Pierre = 8 - 2 = 6 h
Distance covered by Pierre when he met Valen
= 6 x 83
= 498 km
(b)
Distance travelled by Valen
= 8 x 54
= 432 km
Distance of the two parks
= (498 + 432) ÷ 2
= 930 ÷ 2
= 465 km
Answer(s): (a) 498 km; (b) 465 km