At 5 a.m., Michael and Vincent left Park W and drove towards Park X at average speeds of 75 km/h and 53 km/h respectively. Upon reaching Park X, Michael rested for 2 hours. He then headed back for Park W at an average speed of 75 km/h along the same route. Michael and Vincent met each other on their way at 12 noon.
- How far had Michael covered when he met Vincent on the way?
- How far apart were the two parks?
(a)
Time taken by Vincent = 7 h
Time taken by Michael = 7 - 2 = 5 h
Distance covered by Michael when he met Vincent
= 5 x 75
= 375 km
(b)
Distance travelled by Vincent
= 7 x 53
= 371 km
Distance of the two parks
= (375 + 371) ÷ 2
= 746 ÷ 2
= 373 km
Answer(s): (a) 375 km; (b) 373 km
