At 7 a.m., Mark and Luke left Park D and drove towards Park E at average speeds of 88 km/h and 64 km/h respectively. Upon reaching Park E, Mark rested for 2 hours. He then headed back for Park D at an average speed of 88 km/h along the same route. Mark and Luke met each other on their way at 12 noon.
- How far had Mark covered when he met Luke on the way?
- How far apart were the two parks?
(a)
Time taken by Luke = 5 h
Time taken by Mark = 5 - 2 = 3 h
Distance covered by Mark when he met Luke
= 3 x 88
= 264 km
(b)
Distance travelled by Luke
= 5 x 64
= 320 km
Distance of the two parks
= (264 + 320) ÷ 2
= 584 ÷ 2
= 292 km
Answer(s): (a) 264 km; (b) 292 km