At 7 a.m., Riordan and Owen left Park P and drove towards Park Q at average speeds of 83 km/h and 59 km/h respectively. Upon reaching Park Q, Riordan rested for 2 hours. He then headed back for Park P at an average speed of 83 km/h along the same route. Riordan and Owen met each other on their way at 12 noon.
- How far had Riordan covered when he met Owen on the way?
- How far apart were the two parks?
(a)
Time taken by Owen = 5 h
Time taken by Riordan = 5 - 2 = 3 h
Distance covered by Riordan when he met Owen
= 3 x 83
= 249 km
(b)
Distance travelled by Owen
= 5 x 59
= 295 km
Distance of the two parks
= (249 + 295) ÷ 2
= 544 ÷ 2
= 272 km
Answer(s): (a) 249 km; (b) 272 km