Question
A is faster than B, A and B each walk 24 km. The sum of speeds is 7 m/hr and the sum of times taken by them is 14 hours. Then ,A's speed is equal to :
Answer: Option B
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Let A's speed = `x` km/hr, Then ,B's speed = (7 - `x`) km/hr
So , `24/x + (24)/(7 - x) = 14`
`hArr 24( 7 - x) + 24x = 14x(7 - x)`
`hArr 14x^2 - 98x + 168 = 0 hArr x^2 - 7x + 12 = 0`
`hArr (x - 3) (x - 4) = 0 hArr x = 3 or x = 4.`
Since , A is faster than B, so A's speed = 4 km/hr and B's speed = 3 km/hr.
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