Math, asked by Ritik11111111111, 1 year ago

a train travelling at a uniform speed for 360 km would have taken 48 minutes less to travel the same distance if its speed wear 5 km per hour more find its original speech of the train

Answers

Answered by RadhikaSahni
2
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let original speed of train = x km/h 


.we know, 
time = distance/speed 


.first case 
———————time taken by train = 360/x hour 


.second case 
—————————— 

.time taken by train its speed increase 5 km/h = 360/( x + 5) 



question says that :


.time taken by train in first - time taken by train in 2nd case = 48 min = 48/60 hour 


360/x - 360/(x +5) = 48/60 = 4/5 

360{ 1/x - 1/(x +5) } = 4/5 
360 ×5/4 { 5/(x² +5x )} =1
450 x 5 = x² + 5x 
x² +5x -2250 = 0

x = { -5±√(25+9000) }/2 
=(-5 ±√(9025) )/2 =(-5 ± 95)/2 = -50 , 45 

.but x ≠ -50 because speed doesn't negative 

so, x = 45 km/h __________________________________________________________hence, original speed of train = 45 km/h
Hope it helps mark as brainliest
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Answered by Anonymous
2
Here's your answer....
45km/hr..

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