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A student walks from his house at speed of \(2\frac{1}{2}\) km/hour and reaches his school late by 6 min. Next day, he increases his speed by 1 km/hour and reaches 6 min before school time. How far…

Question and options

A student walks from his house at speed of 2122\frac{1}{2} km/hour and reaches his school late by 6 min. Next day, he increases his speed by 1 km/hour and reaches 6 min before school time. How far is the school from his house?
  1. 54\dfrac{5}{4} km
  2. 74\dfrac{7}{4} km
  3. 94\dfrac{9}{4} km
  4. 114\dfrac{11}{4} km

Answer and explanation

Correct answer: B - \(\dfrac{7}{4}\) km
Time difference = 12 min = 1/5 h. d/2.5 - d/3.5 = d(2/5 - 2/7) = 4d/35 = 1/5, so d = 7/4 km.

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