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A train covers a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less then it would have taken 3 hours more to cover the same distance. Find the usual speed of the train. |
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Answer» Correct Answer - 40 km/hr Let the usual speed of the train be x km/hr. Then, `(480)/((x-8))-(480)/(x)=3implies(1)/(x-8)-(1)/(x)=(3)/(480)=(1)/(160).` `implies160[x-(x-8)]=x(x-8)impliesx^(2)-8x-1280=0` `impliesx^(2)-40x+32x-1280=0.` |
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