At 6 a.m., Simon and Luke left Park Q and drove towards Park R at average speeds of 96 km/h and 52 km/h respectively. Upon reaching Park R, Simon rested for 3 hours. He then headed back for Park Q at an average speed of 96 km/h along the same route. Simon and Luke met each other on their way at 1 p.m.
- How far had Simon covered when he met Luke on the way?
- How far apart were the two parks?
(a)
Time taken by Luke = 7 h
Time taken by Simon = 7 - 3 = 4 h
Distance covered by Simon when he met Luke
= 4 x 96
= 384 km
(b)
Distance travelled by Luke
= 7 x 52
= 364 km
Distance of the two parks
= (384 + 364) ÷ 2
= 748 ÷ 2
= 374 km
Answer(s): (a) 384 km; (b) 374 km