At 7 a.m., Elijah and Pierre left Park K and drove towards Park L at average speeds of 97 km/h and 63 km/h respectively. Upon reaching Park L, Elijah rested for 2 hours. He then headed back for Park K at an average speed of 97 km/h along the same route. Elijah and Pierre met each other on their way at 12 noon.
- How far had Elijah covered when he met Pierre on the way?
- How far apart were the two parks?
(a)
Time taken by Pierre = 5 h
Time taken by Elijah = 5 - 2 = 3 h
Distance covered by Elijah when he met Pierre
= 3 x 97
= 291 km
(b)
Distance travelled by Pierre
= 5 x 63
= 315 km
Distance of the two parks
= (291 + 315) ÷ 2
= 606 ÷ 2
= 303 km
Answer(s): (a) 291 km; (b) 303 km