At 6 a.m., Elijah and Ryan left Park S and drove towards Park T at average speeds of 90 km/h and 52 km/h respectively. Upon reaching Park T, Elijah rested for 3 hours. He then headed back for Park S at an average speed of 90 km/h along the same route. Elijah and Ryan met each other on their way at 12 noon.
- How far had Elijah covered when he met Ryan on the way?
- How far apart were the two parks?
(a)
Time taken by Ryan = 6 h
Time taken by Elijah = 6 - 3 = 3 h
Distance covered by Elijah when he met Ryan
= 3 x 90
= 270 km
(b)
Distance travelled by Ryan
= 6 x 52
= 312 km
Distance of the two parks
= (270 + 312) ÷ 2
= 582 ÷ 2
= 291 km
Answer(s): (a) 270 km; (b) 291 km