At 5 a.m., John and Fabian left Park P and drove towards Park Q at average speeds of 85 km/h and 51 km/h respectively. Upon reaching Park Q, John rested for 2 hours. He then headed back for Park P at an average speed of 85 km/h along the same route. John and Fabian met each other on their way at 1 p.m.
- How far had John covered when he met Fabian on the way?
- How far apart were the two parks?
(a)
Time taken by Fabian = 8 h
Time taken by John = 8 - 2 = 6 h
Distance covered by John when he met Fabian
= 6 x 85
= 510 km
(b)
Distance travelled by Fabian
= 8 x 51
= 408 km
Distance of the two parks
= (510 + 408) ÷ 2
= 918 ÷ 2
= 459 km
Answer(s): (a) 510 km; (b) 459 km