At 6 a.m., Liam and Fabian left Park P and drove towards Park Q at average speeds of 72 km/h and 53 km/h respectively. Upon reaching Park Q, Liam rested for 2 hours. He then headed back for Park P at an average speed of 72 km/h along the same route. Liam and Fabian met each other on their way at 12 noon.
- How far had Liam covered when he met Fabian on the way?
- How far apart were the two parks?
(a)
Time taken by Fabian = 6 h
Time taken by Liam = 6 - 2 = 4 h
Distance covered by Liam when he met Fabian
= 4 x 72
= 288 km
(b)
Distance travelled by Fabian
= 6 x 53
= 318 km
Distance of the two parks
= (288 + 318) ÷ 2
= 606 ÷ 2
= 303 km
Answer(s): (a) 288 km; (b) 303 km