At 7 a.m., Michael and Julian left Park Q and drove towards Park R at average speeds of 78 km/h and 64 km/h respectively. Upon reaching Park R, Michael rested for 3 hours. He then headed back for Park Q at an average speed of 78 km/h along the same route. Michael and Julian met each other on their way at 12 noon.
- How far had Michael covered when he met Julian on the way?
- How far apart were the two parks?
(a)
Time taken by Julian = 5 h
Time taken by Michael = 5 - 3 = 2 h
Distance covered by Michael when he met Julian
= 2 x 78
= 156 km
(b)
Distance travelled by Julian
= 5 x 64
= 320 km
Distance of the two parks
= (156 + 320) ÷ 2
= 476 ÷ 2
= 238 km
Answer(s): (a) 156 km; (b) 238 km