At 6 a.m., Ivan and David left Park Y and drove towards Park Z at average speeds of 86 km/h and 52 km/h respectively. Upon reaching Park Z, Ivan rested for 3 hours. He then headed back for Park Y at an average speed of 86 km/h along the same route. Ivan and David met each other on their way at 2 p.m.
- How far had Ivan covered when he met David on the way?
- How far apart were the two parks?
(a)
Time taken by David = 8 h
Time taken by Ivan = 8 - 3 = 5 h
Distance covered by Ivan when he met David
= 5 x 86
= 430 km
(b)
Distance travelled by David
= 8 x 52
= 416 km
Distance of the two parks
= (430 + 416) ÷ 2
= 846 ÷ 2
= 423 km
Answer(s): (a) 430 km; (b) 423 km