At 5 a.m., Ethan and Vaidev left Park X and drove towards Park Y at average speeds of 97 km/h and 63 km/h respectively. Upon reaching Park Y, Ethan rested for 2 hours. He then headed back for Park X at an average speed of 97 km/h along the same route. Ethan and Vaidev met each other on their way at 12 noon.
- How far had Ethan covered when he met Vaidev on the way?
- How far apart were the two parks?
(a)
Time taken by Vaidev = 7 h
Time taken by Ethan = 7 - 2 = 5 h
Distance covered by Ethan when he met Vaidev
= 5 x 97
= 485 km
(b)
Distance travelled by Vaidev
= 7 x 63
= 441 km
Distance of the two parks
= (485 + 441) ÷ 2
= 926 ÷ 2
= 463 km
Answer(s): (a) 485 km; (b) 463 km