Let the speed of the faster train = x kmph ∴ Relative speed of the trains = (x - 18) kmph ⇒(x - 18) x 5/18 m/sec. Distance = 125 + 100 = 225 m and time = 9 sec ∴ (x - 18)x 5/18 = 225 / 9 ⇒x - 18 = (225 x 18 ) / (5 x 9) = 90 ∴ x = 90 +18= 108 kmph.
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The simple interest on a sum of money is 9/20 of the sum. If the number of years is numerically half the rate per annum, then find the rate percent per ...