Answer: Distance between truck and car is 60km and distance between car and van is 0km. |
This is a simple relative velocity question. |
When the vehicles are going in the same direction, relative velocity is the difference of velocities. |
For example, if two vehicles start from two different locations, 200 km apart and if they are going in the same direction |
then distance between them reduces by their difference of speeds every hour - |
provided the slow vehicle is going first and fast vehicle is following the slow vehicle. |
When vehicles are approaching each other, the relative velocity is the sum of their velocities. |
For example, two vehicles are 200 km apart and approaching each other, then the distance reduces by |
the sum of their velocities every hour. |
In our question, the truck is going at 50km/hr velocity and car is going at 65km/hr velocity. |
So the distance between them increases by 15km every hour. |
From 10 A.M to 2 P.M, in 4 hours, the distance between them will be 60km. |
The second scenario, van is traveling at 60km/hr velocity. |
So every hour the distance between van and car will reduce by (65+60) = 125km. |
In 4 hours time, the distance between them reduce by 500km. |
The distance between them was initially 500km, so they exactly cross each other at that time. |
Winners:Sumanth Nethi, Sravya Ainapurapu, Raghu Ayinapurapu, Rajeswararao Ainapurapu, Vaasanthi Maghapu. |
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