the ratio of speed of a and b is 3 ratio 5 if a takes 24 hours more than B to cover a certain distance and how much time will be take to cover the same distance....try this out
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Let the speed of a be 3x
Let the speed of b be 5x
Let the certain distance covered be = y
We know time = distance / speed
Time taken by a = y / 3x
Time taken by b = y / 5x
according to question
y / 3x = 24 + ( y / 5x )
multiply by 15x throughout
y × ( 5 ) = ( 24 × 15x ) + ( y × 3 )
5y – 3y = 360x
2y = 360x
y = 180x. – ( 1 )
Ans : Time taken by b to cover the same distance = y / 5x = 180x / 5x = 36 hours
hope the solution is clear to you!!
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