At 5 a.m., Vaidev and Jack left Park P and drove towards Park Q at average speeds of 76 km/h and 56 km/h respectively. Upon reaching Park Q, Vaidev rested for 2 hours. He then headed back for Park P at an average speed of 76 km/h along the same route. Vaidev and Jack met each other on their way at 1 p.m.
- How far had Vaidev covered when he met Jack on the way?
- How far apart were the two parks?
(a)
Time taken by Jack = 8 h
Time taken by Vaidev = 8 - 2 = 6 h
Distance covered by Vaidev when he met Jack
= 6 x 76
= 456 km
(b)
Distance travelled by Jack
= 8 x 56
= 448 km
Distance of the two parks
= (456 + 448) ÷ 2
= 904 ÷ 2
= 452 km
Answer(s): (a) 456 km; (b) 452 km