Mathematics Quiz (One question every week)


Question 102: (August 1st, 2015) Answer



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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