At 5 a.m., Paul and Ken left Park N and drove towards Park P at average speeds of 97 km/h and 59 km/h respectively. Upon reaching Park P, Paul rested for 2 hours. He then headed back for Park N at an average speed of 97 km/h along the same route. Paul and Ken met each other on their way at 2 p.m.
- How far had Paul covered when he met Ken on the way?
- How far apart were the two parks?
(a)
Time taken by Ken = 9 h
Time taken by Paul = 9 - 2 = 7 h
Distance covered by Paul when he met Ken
= 7 x 97
= 679 km
(b)
Distance travelled by Ken
= 9 x 59
= 531 km
Distance of the two parks
= (679 + 531) ÷ 2
= 1210 ÷ 2
= 605 km
Answer(s): (a) 679 km; (b) 605 km