At 9 a.m., Ben and Sam left Park M and drove towards Park N at average speeds of 74 km/h and 50 km/h respectively. Upon reaching Park N, Ben rested for 3 hours. He then headed back for Park M at an average speed of 74 km/h along the same route. Ben and Sam met each other on their way at 2 p.m.
- How far had Ben covered when he met Sam on the way?
- How far apart were the two parks?
(a)
Time taken by Sam = 5 h
Time taken by Ben = 5 - 3 = 2 h
Distance covered by Ben when he met Sam
= 2 x 74
= 148 km
(b)
Distance travelled by Sam
= 5 x 50
= 250 km
Distance of the two parks
= (148 + 250) ÷ 2
= 398 ÷ 2
= 199 km
Answer(s): (a) 148 km; (b) 199 km