At 6 a.m., Jack and Bryan left Park Z and drove towards Park A at average speeds of 74 km/h and 64 km/h respectively. Upon reaching Park A, Jack rested for 2 hours. He then headed back for Park Z at an average speed of 74 km/h along the same route. Jack and Bryan met each other on their way at 1 p.m.
- How far had Jack covered when he met Bryan on the way?
- How far apart were the two parks?
(a)
Time taken by Bryan = 7 h
Time taken by Jack = 7 - 2 = 5 h
Distance covered by Jack when he met Bryan
= 5 x 74
= 370 km
(b)
Distance travelled by Bryan
= 7 x 64
= 448 km
Distance of the two parks
= (370 + 448) ÷ 2
= 818 ÷ 2
= 409 km
Answer(s): (a) 370 km; (b) 409 km