At 5 a.m., Mark and Albert left Park Q and drove towards Park R at average speeds of 82 km/h and 54 km/h respectively. Upon reaching Park R, Mark rested for 3 hours. He then headed back for Park Q at an average speed of 82 km/h along the same route. Mark and Albert met each other on their way at 12 noon.
- How far had Mark covered when he met Albert on the way?
- How far apart were the two parks?
(a)
Time taken by Albert = 7 h
Time taken by Mark = 7 - 3 = 4 h
Distance covered by Mark when he met Albert
= 4 x 82
= 328 km
(b)
Distance travelled by Albert
= 7 x 54
= 378 km
Distance of the two parks
= (328 + 378) ÷ 2
= 706 ÷ 2
= 353 km
Answer(s): (a) 328 km; (b) 353 km