At 6 a.m., Vincent and Gabriel left Park D and drove towards Park E at average speeds of 77 km/h and 57 km/h respectively. Upon reaching Park E, Vincent rested for 2 hours. He then headed back for Park D at an average speed of 77 km/h along the same route. Vincent and Gabriel met each other on their way at 12 noon.
- How far had Vincent covered when he met Gabriel on the way?
- How far apart were the two parks?
(a)
Time taken by Gabriel = 6 h
Time taken by Vincent = 6 - 2 = 4 h
Distance covered by Vincent when he met Gabriel
= 4 x 77
= 308 km
(b)
Distance travelled by Gabriel
= 6 x 57
= 342 km
Distance of the two parks
= (308 + 342) ÷ 2
= 650 ÷ 2
= 325 km
Answer(s): (a) 308 km; (b) 325 km
