At 6 a.m., Mark and Liam left Park D and drove towards Park E at average speeds of 98 km/h and 63 km/h respectively. Upon reaching Park E, Mark rested for 2 hours. He then headed back for Park D at an average speed of 98 km/h along the same route. Mark and Liam met each other on their way at 12 noon.
- How far had Mark covered when he met Liam on the way?
- How far apart were the two parks?
(a)
Time taken by Liam = 6 h
Time taken by Mark = 6 - 2 = 4 h
Distance covered by Mark when he met Liam
= 4 x 98
= 392 km
(b)
Distance travelled by Liam
= 6 x 63
= 378 km
Distance of the two parks
= (392 + 378) ÷ 2
= 770 ÷ 2
= 385 km
Answer(s): (a) 392 km; (b) 385 km