At 6 a.m., Rael and Tim left Park X and drove towards Park Y at average speeds of 92 km/h and 53 km/h respectively. Upon reaching Park Y, Rael rested for 3 hours. He then headed back for Park X at an average speed of 92 km/h along the same route. Rael and Tim met each other on their way at 12 noon.
- How far had Rael covered when he met Tim on the way?
- How far apart were the two parks?
(a)
Time taken by Tim = 6 h
Time taken by Rael = 6 - 3 = 3 h
Distance covered by Rael when he met Tim
= 3 x 92
= 276 km
(b)
Distance travelled by Tim
= 6 x 53
= 318 km
Distance of the two parks
= (276 + 318) ÷ 2
= 594 ÷ 2
= 297 km
Answer(s): (a) 276 km; (b) 297 km