Question : The speed of Ashu is 15 km/hr more than the speed of Vishu. They start moving in the same direction at the same time, but initially, Vishu is ahead of Ashu by a certain distance. If Ashu crosses Vishu 6 hours after they start moving, what is the initial distance between them?
Option 1: 45 km
Option 2: 60 km
Option 3: 90 km
Option 4: 80 km
Correct Answer: 90 km
Solution :
Let the speed of Vishu be =
The speed of Ashu will be =
Also, let the initial distance covered by Vishu be
It is given that Vishu initially is ahead of Ashu by a certain distance. Let this distance be a km. So, the distance covered by Vishu before Ashu overtakes him in 6 hours is '
Also, Ashu will have to cover the initial distance plus the extra distance travelled by Vishu in that time. So, the distance covered by Ashu before he overtakes is '
⇒
⇒ 6
⇒
Hence, the correct answer is 90 km.