At 7 a.m., Sam and Ivan left Park B and drove towards Park C at average speeds of 84 km/h and 51 km/h respectively. Upon reaching Park C, Sam rested for 2 hours. He then headed back for Park B at an average speed of 84 km/h along the same route. Sam and Ivan met each other on their way at 1 p.m.
- How far had Sam covered when he met Ivan on the way?
- How far apart were the two parks?
(a)
Time taken by Ivan = 6 h
Time taken by Sam = 6 - 2 = 4 h
Distance covered by Sam when he met Ivan
= 4 x 84
= 336 km
(b)
Distance travelled by Ivan
= 6 x 51
= 306 km
Distance of the two parks
= (336 + 306) ÷ 2
= 642 ÷ 2
= 321 km
Answer(s): (a) 336 km; (b) 321 km