Arjun and Barun walk at a speed of 5 km/hr and 4 km/hr respectively. Each of them can drive a car at 30 km/hr and cycle at 15 km/hr. There are three places to be visited-1. Water kingdom2. Nicco-Park3. Science CityIn order to reduce traffic and promote fuel efficient travel routes, the places are connected to each other through independent walk, car and cycle paths. The places are connected together such that.In Between : Water – kingdom and Nicco-park – The car route is 60% longer than the walk route and 20% longer than the cycle route.In Between : Nicco-park and Science City – The car route is 25% longer than the walk and 10% longer than the cycle path. There is no independent path between water-kingdom and science city. From anywhere along the path (car or cycle) one can get on to the walk path and vice-versa in10 minutes. It may be assumed that when a person moves from the first path to the second path and vice-versa, he moves in such a way that he reaches a point on the walk path which is exactly at a proportional distance to the distance already covered in the first path.Read the following information to answer the next questions.Question: The walk path between Water-kingdom and Nicco-park is 100 km. If Arjun travels from Water-kingdom to Nicco-Park in a car and reached Nicco-Park exactly at the same time as Barun traveling on cycle from Science city to Nicco-park, given that Barun started at the same time when Arjun started, then what is the length of the walk path between Nicco-park and Science City?

1) 88.4 km
2) 70.4 km
3) 60.4 km
4) 80.4 km