At 5 a.m., Jeremy and Vincent left Park S and drove towards Park T at average speeds of 86 km/h and 50 km/h respectively. Upon reaching Park T, Jeremy rested for 2 hours. He then headed back for Park S at an average speed of 86 km/h along the same route. Jeremy and Vincent met each other on their way at 1 p.m.
- How far had Jeremy covered when he met Vincent on the way?
- How far apart were the two parks?
(a)
Time taken by Vincent = 8 h
Time taken by Jeremy = 8 - 2 = 6 h
Distance covered by Jeremy when he met Vincent
= 6 x 86
= 516 km
(b)
Distance travelled by Vincent
= 8 x 50
= 400 km
Distance of the two parks
= (516 + 400) ÷ 2
= 916 ÷ 2
= 458 km
Answer(s): (a) 516 km; (b) 458 km