At 5 a.m., Ben and Vincent left Park V and drove towards Park W at average speeds of 100 km/h and 50 km/h respectively. Upon reaching Park W, Ben rested for 3 hours. He then headed back for Park V at an average speed of 100 km/h along the same route. Ben and Vincent met each other on their way at 12 noon.
- How far had Ben 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 Ben = 7 - 3 = 4 h
Distance covered by Ben when he met Vincent
= 4 x 100
= 400 km
(b)
Distance travelled by Vincent
= 7 x 50
= 350 km
Distance of the two parks
= (400 + 350) ÷ 2
= 750 ÷ 2
= 375 km
Answer(s): (a) 400 km; (b) 375 km
