At 5 a.m., Vincent and Daniel left Park X and drove towards Park Y at average speeds of 80 km/h and 58 km/h respectively. Upon reaching Park Y, Vincent rested for 3 hours. He then headed back for Park X at an average speed of 80 km/h along the same route. Vincent and Daniel met each other on their way at 12 noon.
- How far had Vincent covered when he met Daniel on the way?
- How far apart were the two parks?
(a)
Time taken by Daniel = 7 h
Time taken by Vincent = 7 - 3 = 4 h
Distance covered by Vincent when he met Daniel
= 4 x 80
= 320 km
(b)
Distance travelled by Daniel
= 7 x 58
= 406 km
Distance of the two parks
= (320 + 406) ÷ 2
= 726 ÷ 2
= 363 km
Answer(s): (a) 320 km; (b) 363 km
