At 7 a.m., Howard and Jack left Park J and drove towards Park K at average speeds of 83 km/h and 65 km/h respectively. Upon reaching Park K, Howard rested for 2 hours. He then headed back for Park J at an average speed of 83 km/h along the same route. Howard and Jack met each other on their way at 12 noon.
- How far had Howard covered when he met Jack on the way?
- How far apart were the two parks?
(a)
Time taken by Jack = 5 h
Time taken by Howard = 5 - 2 = 3 h
Distance covered by Howard when he met Jack
= 3 x 83
= 249 km
(b)
Distance travelled by Jack
= 5 x 65
= 325 km
Distance of the two parks
= (249 + 325) ÷ 2
= 574 ÷ 2
= 287 km
Answer(s): (a) 249 km; (b) 287 km