At 6 a.m., Ethan and Bryan left Park P and drove towards Park Q at average speeds of 72 km/h and 57 km/h respectively. Upon reaching Park Q, Ethan rested for 2 hours. He then headed back for Park P at an average speed of 72 km/h along the same route. Ethan and Bryan met each other on their way at 12 noon.
- How far had Ethan covered when he met Bryan on the way?
- How far apart were the two parks?
(a)
Time taken by Bryan = 6 h
Time taken by Ethan = 6 - 2 = 4 h
Distance covered by Ethan when he met Bryan
= 4 x 72
= 288 km
(b)
Distance travelled by Bryan
= 6 x 57
= 342 km
Distance of the two parks
= (288 + 342) ÷ 2
= 630 ÷ 2
= 315 km
Answer(s): (a) 288 km; (b) 315 km