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Two trains A and B cross each other in t minutes if they are moving in opposite directions. It is known that their speeds are in the ratio 3:4. If A changes its direction and doubles its speed, by what percentage should train B increase its speed such that the time taken to cross each other remains the same?
  • a)
    250
  • b)
    300
  • c)
    225
  • d)
    400
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two trains A and B cross each other in t minutes if they are moving in...
There are two cases :Trains moving in opposite direction, Trains moving in same direction. The distance that train B needs to cover in both the cases will be =Length of train A+ length of train B.
Assuming the speed of A = 3 km/hr and the speed of B = 4 km/hr 
In first case the speed of B relative to A is 4+3 km/hr= 7km/hr    
In the second case let  the speed of B be x, 
 the speed of B relative to A is x-6 km/hr. 
In order to cover the same distance in same time the speeds should be equal.
x-6=7
x=13 km/hr
Percent increase in the speed of B= (13-4)/4x100= 225%
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Two trains A and B cross each other in t minutes if they are moving in opposite directions. It is known that their speeds are in the ratio 3:4. If A changes its direction and doubles its speed, by what percentage should train B increase its speed such that the time taken to cross each other remains the same?a)250b)300c)225d)400Correct answer is option 'C'. Can you explain this answer?
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