At 5 a.m., Pierre and Ethan left Park Q and drove towards Park R at average speeds of 90 km/h and 58 km/h respectively. Upon reaching Park R, Pierre rested for 2 hours. He then headed back for Park Q at an average speed of 90 km/h along the same route. Pierre and Ethan met each other on their way at 12 noon.
- How far had Pierre covered when he met Ethan on the way?
- How far apart were the two parks?
(a)
Time taken by Ethan = 7 h
Time taken by Pierre = 7 - 2 = 5 h
Distance covered by Pierre when he met Ethan
= 5 x 90
= 450 km
(b)
Distance travelled by Ethan
= 7 x 58
= 406 km
Distance of the two parks
= (450 + 406) ÷ 2
= 856 ÷ 2
= 428 km
Answer(s): (a) 450 km; (b) 428 km
