At 6 a.m., Nick and Vaidev left Park J and drove towards Park K at average speeds of 86 km/h and 55 km/h respectively. Upon reaching Park K, Nick rested for 3 hours. He then headed back for Park J at an average speed of 86 km/h along the same route. Nick and Vaidev met each other on their way at 12 noon.
- How far had Nick covered when he met Vaidev on the way?
- How far apart were the two parks?
(a)
Time taken by Vaidev = 6 h
Time taken by Nick = 6 - 3 = 3 h
Distance covered by Nick when he met Vaidev
= 3 x 86
= 258 km
(b)
Distance travelled by Vaidev
= 6 x 55
= 330 km
Distance of the two parks
= (258 + 330) ÷ 2
= 588 ÷ 2
= 294 km
Answer(s): (a) 258 km; (b) 294 km