At 9 a.m., Gabriel and Ben left Park E and drove towards Park F at average speeds of 75 km/h and 56 km/h respectively. Upon reaching Park F, Gabriel rested for 3 hours. He then headed back for Park E at an average speed of 75 km/h along the same route. Gabriel and Ben met each other on their way at 2 p.m.
- How far had Gabriel covered when he met Ben on the way?
- How far apart were the two parks?
(a)
Time taken by Ben = 5 h
Time taken by Gabriel = 5 - 3 = 2 h
Distance covered by Gabriel when he met Ben
= 2 x 75
= 150 km
(b)
Distance travelled by Ben
= 5 x 56
= 280 km
Distance of the two parks
= (150 + 280) ÷ 2
= 430 ÷ 2
= 215 km
Answer(s): (a) 150 km; (b) 215 km