At 5 a.m., Paul and John left Park Z and drove towards Park A at average speeds of 86 km/h and 56 km/h respectively. Upon reaching Park A, Paul rested for 2 hours. He then headed back for Park Z at an average speed of 86 km/h along the same route. Paul and John met each other on their way at 12 noon.
- How far had Paul covered when he met John on the way?
- How far apart were the two parks?
(a)
Time taken by John = 7 h
Time taken by Paul = 7 - 2 = 5 h
Distance covered by Paul when he met John
= 5 x 86
= 430 km
(b)
Distance travelled by John
= 7 x 56
= 392 km
Distance of the two parks
= (430 + 392) ÷ 2
= 822 ÷ 2
= 411 km
Answer(s): (a) 430 km; (b) 411 km