At 7 a.m., Valen and Jack left Park M and drove towards Park N at average speeds of 97 km/h and 56 km/h respectively. Upon reaching Park N, Valen rested for 3 hours. He then headed back for Park M at an average speed of 97 km/h along the same route. Valen and Jack met each other on their way at 12 noon.
- How far had Valen 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 Valen = 5 - 3 = 2 h
Distance covered by Valen when he met Jack
= 2 x 97
= 194 km
(b)
Distance travelled by Jack
= 5 x 56
= 280 km
Distance of the two parks
= (194 + 280) ÷ 2
= 474 ÷ 2
= 237 km
Answer(s): (a) 194 km; (b) 237 km