At 7 a.m., Elijah and Asher left Park P and drove towards Park Q at average speeds of 86 km/h and 50 km/h respectively. Upon reaching Park Q, Elijah rested for 2 hours. He then headed back for Park P at an average speed of 86 km/h along the same route. Elijah and Asher met each other on their way at 2 p.m.
- How far had Elijah covered when he met Asher on the way?
- How far apart were the two parks?
(a)
Time taken by Asher = 7 h
Time taken by Elijah = 7 - 2 = 5 h
Distance covered by Elijah when he met Asher
= 5 x 86
= 430 km
(b)
Distance travelled by Asher
= 7 x 50
= 350 km
Distance of the two parks
= (430 + 350) ÷ 2
= 780 ÷ 2
= 390 km
Answer(s): (a) 430 km; (b) 390 km