At 6 a.m., Xavier and Bryan left Park M and drove towards Park N at average speeds of 85 km/h and 53 km/h respectively. Upon reaching Park N, Xavier rested for 2 hours. He then headed back for Park M at an average speed of 85 km/h along the same route. Xavier and Bryan met each other on their way at 12 noon.
- How far had Xavier covered when he met Bryan on the way?
- How far apart were the two parks?
(a)
Time taken by Bryan = 6 h
Time taken by Xavier = 6 - 2 = 4 h
Distance covered by Xavier when he met Bryan
= 4 x 85
= 340 km
(b)
Distance travelled by Bryan
= 6 x 53
= 318 km
Distance of the two parks
= (340 + 318) ÷ 2
= 658 ÷ 2
= 329 km
Answer(s): (a) 340 km; (b) 329 km