At 7 a.m., Ken and Billy left Park P and drove towards Park Q at average speeds of 71 km/h and 50 km/h respectively. Upon reaching Park Q, Ken rested for 2 hours. He then headed back for Park P at an average speed of 71 km/h along the same route. Ken and Billy met each other on their way at 1 p.m.
- How far had Ken covered when he met Billy on the way?
- How far apart were the two parks?
(a)
Time taken by Billy = 6 h
Time taken by Ken = 6 - 2 = 4 h
Distance covered by Ken when he met Billy
= 4 x 71
= 284 km
(b)
Distance travelled by Billy
= 6 x 50
= 300 km
Distance of the two parks
= (284 + 300) ÷ 2
= 584 ÷ 2
= 292 km
Answer(s): (a) 284 km; (b) 292 km