At 6 a.m., Elijah and Billy left Park W and drove towards Park X at average speeds of 86 km/h and 51 km/h respectively. Upon reaching Park X, Elijah rested for 3 hours. He then headed back for Park W at an average speed of 86 km/h along the same route. Elijah and Billy met each other on their way at 12 noon.
- How far had Elijah covered when he met Billy on the way?
- How far apart were the two parks?
(a)
Time taken by Billy = 6 h
Time taken by Elijah = 6 - 3 = 3 h
Distance covered by Elijah when he met Billy
= 3 x 86
= 258 km
(b)
Distance travelled by Billy
= 6 x 51
= 306 km
Distance of the two parks
= (258 + 306) ÷ 2
= 564 ÷ 2
= 282 km
Answer(s): (a) 258 km; (b) 282 km