At 5 a.m., Fred and Peter left Park Q and drove towards Park R at average speeds of 76 km/h and 50 km/h respectively. Upon reaching Park R, Fred rested for 2 hours. He then headed back for Park Q at an average speed of 76 km/h along the same route. Fred and Peter met each other on their way at 2 p.m.
- How far had Fred covered when he met Peter on the way?
- How far apart were the two parks?
(a)
Time taken by Peter = 9 h
Time taken by Fred = 9 - 2 = 7 h
Distance covered by Fred when he met Peter
= 7 x 76
= 532 km
(b)
Distance travelled by Peter
= 9 x 50
= 450 km
Distance of the two parks
= (532 + 450) ÷ 2
= 982 ÷ 2
= 491 km
Answer(s): (a) 532 km; (b) 491 km