At 5 a.m., Valen and Ethan left Park K and drove towards Park L at average speeds of 75 km/h and 63 km/h respectively. Upon reaching Park L, Valen rested for 2 hours. He then headed back for Park K at an average speed of 75 km/h along the same route. Valen and Ethan met each other on their way at 12 noon.
- How far had Valen covered when he met Ethan on the way?
- How far apart were the two parks?
(a)
Time taken by Ethan = 7 h
Time taken by Valen = 7 - 2 = 5 h
Distance covered by Valen when he met Ethan
= 5 x 75
= 375 km
(b)
Distance travelled by Ethan
= 7 x 63
= 441 km
Distance of the two parks
= (375 + 441) ÷ 2
= 816 ÷ 2
= 408 km
Answer(s): (a) 375 km; (b) 408 km
