At 5 a.m., Jack and Cole left Park P and drove towards Park Q at average speeds of 89 km/h and 60 km/h respectively. Upon reaching Park Q, Jack rested for 2 hours. He then headed back for Park P at an average speed of 89 km/h along the same route. Jack and Cole met each other on their way at 1 p.m.
- How far had Jack covered when he met Cole on the way?
- How far apart were the two parks?
(a)
Time taken by Cole = 8 h
Time taken by Jack = 8 - 2 = 6 h
Distance covered by Jack when he met Cole
= 6 x 89
= 534 km
(b)
Distance travelled by Cole
= 8 x 60
= 480 km
Distance of the two parks
= (534 + 480) ÷ 2
= 1014 ÷ 2
= 507 km
Answer(s): (a) 534 km; (b) 507 km