At 5 a.m., Simon and Ken left Park X and drove towards Park Y at average speeds of 100 km/h and 64 km/h respectively. Upon reaching Park Y, Simon rested for 3 hours. He then headed back for Park X at an average speed of 100 km/h along the same route. Simon and Ken met each other on their way at 1 p.m.
- How far had Simon covered when he met Ken on the way?
- How far apart were the two parks?
(a)
Time taken by Ken = 8 h
Time taken by Simon = 8 - 3 = 5 h
Distance covered by Simon when he met Ken
= 5 x 100
= 500 km
(b)
Distance travelled by Ken
= 8 x 64
= 512 km
Distance of the two parks
= (500 + 512) ÷ 2
= 1012 ÷ 2
= 506 km
Answer(s): (a) 500 km; (b) 506 km