At 5 a.m., Fred and Mark left Park J and drove towards Park K at average speeds of 77 km/h and 54 km/h respectively. Upon reaching Park K, Fred rested for 3 hours. He then headed back for Park J at an average speed of 77 km/h along the same route. Fred and Mark met each other on their way at 12 noon.
- How far had Fred covered when he met Mark on the way?
- How far apart were the two parks?
(a)
Time taken by Mark = 7 h
Time taken by Fred = 7 - 3 = 4 h
Distance covered by Fred when he met Mark
= 4 x 77
= 308 km
(b)
Distance travelled by Mark
= 7 x 54
= 378 km
Distance of the two parks
= (308 + 378) ÷ 2
= 686 ÷ 2
= 343 km
Answer(s): (a) 308 km; (b) 343 km