At 8 a.m., Ethan and Jack left Park D and drove towards Park E at average speeds of 80 km/h and 57 km/h respectively. Upon reaching Park E, Ethan rested for 3 hours. He then headed back for Park D at an average speed of 80 km/h along the same route. Ethan and Jack met each other on their way at 2 p.m.
- How far had Ethan covered when he met Jack on the way?
- How far apart were the two parks?
(a)
Time taken by Jack = 6 h
Time taken by Ethan = 6 - 3 = 3 h
Distance covered by Ethan when he met Jack
= 3 x 80
= 240 km
(b)
Distance travelled by Jack
= 6 x 57
= 342 km
Distance of the two parks
= (240 + 342) ÷ 2
= 582 ÷ 2
= 291 km
Answer(s): (a) 240 km; (b) 291 km