At 9 a.m., Daniel and Ben left Park S and drove towards Park T at average speeds of 84 km/h and 54 km/h respectively. Upon reaching Park T, Daniel rested for 2 hours. He then headed back for Park S at an average speed of 84 km/h along the same route. Daniel and Ben met each other on their way at 2 p.m.
- How far had Daniel 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 Daniel = 5 - 2 = 3 h
Distance covered by Daniel when he met Ben
= 3 x 84
= 252 km
(b)
Distance travelled by Ben
= 5 x 54
= 270 km
Distance of the two parks
= (252 + 270) ÷ 2
= 522 ÷ 2
= 261 km
Answer(s): (a) 252 km; (b) 261 km