At 6 a.m., Vaidev and Pierre left Park S and drove towards Park T at average speeds of 70 km/h and 51 km/h respectively. Upon reaching Park T, Vaidev rested for 2 hours. He then headed back for Park S at an average speed of 70 km/h along the same route. Vaidev and Pierre met each other on their way at 12 noon.
- How far had Vaidev covered when he met Pierre on the way?
- How far apart were the two parks?
(a)
Time taken by Pierre = 6 h
Time taken by Vaidev = 6 - 2 = 4 h
Distance covered by Vaidev when he met Pierre
= 4 x 70
= 280 km
(b)
Distance travelled by Pierre
= 6 x 51
= 306 km
Distance of the two parks
= (280 + 306) ÷ 2
= 586 ÷ 2
= 293 km
Answer(s): (a) 280 km; (b) 293 km