At 6 a.m., Ben and Peter left Park E and drove towards Park F at average speeds of 91 km/h and 59 km/h respectively. Upon reaching Park F, Ben rested for 2 hours. He then headed back for Park E at an average speed of 91 km/h along the same route. Ben and Peter met each other on their way at 2 p.m.
- How far had Ben covered when he met Peter on the way?
- How far apart were the two parks?
(a)
Time taken by Peter = 8 h
Time taken by Ben = 8 - 2 = 6 h
Distance covered by Ben when he met Peter
= 6 x 91
= 546 km
(b)
Distance travelled by Peter
= 8 x 59
= 472 km
Distance of the two parks
= (546 + 472) ÷ 2
= 1018 ÷ 2
= 509 km
Answer(s): (a) 546 km; (b) 509 km