At 7 a.m., Michael and Gabriel left Park J and drove towards Park K at average speeds of 93 km/h and 64 km/h respectively. Upon reaching Park K, Michael rested for 3 hours. He then headed back for Park J at an average speed of 93 km/h along the same route. Michael and Gabriel met each other on their way at 12 noon.
- How far had Michael covered when he met Gabriel on the way?
- How far apart were the two parks?
(a)
Time taken by Gabriel = 5 h
Time taken by Michael = 5 - 3 = 2 h
Distance covered by Michael when he met Gabriel
= 2 x 93
= 186 km
(b)
Distance travelled by Gabriel
= 5 x 64
= 320 km
Distance of the two parks
= (186 + 320) ÷ 2
= 506 ÷ 2
= 253 km
Answer(s): (a) 186 km; (b) 253 km