At 7 a.m., Peter and Ben left Park K and drove towards Park L at average speeds of 100 km/h and 64 km/h respectively. Upon reaching Park L, Peter rested for 3 hours. He then headed back for Park K at an average speed of 100 km/h along the same route. Peter and Ben met each other on their way at 12 noon.
- How far had Peter covered when he met Ben on the way?
- How far apart were the two parks?
(a)
Time taken by Ben = 5 h
Time taken by Peter = 5 - 3 = 2 h
Distance covered by Peter when he met Ben
= 2 x 100
= 200 km
(b)
Distance travelled by Ben
= 5 x 64
= 320 km
Distance of the two parks
= (200 + 320) ÷ 2
= 520 ÷ 2
= 260 km
Answer(s): (a) 200 km; (b) 260 km