At 6 a.m., Jeremy and Luke left Park E and drove towards Park F at average speeds of 70 km/h and 55 km/h respectively. Upon reaching Park F, Jeremy rested for 2 hours. He then headed back for Park E at an average speed of 70 km/h along the same route. Jeremy and Luke met each other on their way at 12 noon.
- How far had Jeremy covered when he met Luke on the way?
- How far apart were the two parks?
(a)
Time taken by Luke = 6 h
Time taken by Jeremy = 6 - 2 = 4 h
Distance covered by Jeremy when he met Luke
= 4 x 70
= 280 km
(b)
Distance travelled by Luke
= 6 x 55
= 330 km
Distance of the two parks
= (280 + 330) ÷ 2
= 610 ÷ 2
= 305 km
Answer(s): (a) 280 km; (b) 305 km