How far is the School from Student House? If

A student walks from his house at 2.5 km/h and reaches his school late by 6 min. Next day, he increases his speed by 1 km/h and reaches 6 min before school time. How far is the school from his house?

  1. 5/4 km
  2. 7/4 km
  3. 9/4 km
  4. 11/4 km
vijay Professor Asked on 1st August 2015 in Maths.
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1 Answer(s)

Answer: (2) 7/4 km
Explanation:-
Let the distance the school from his house is X km.
According to the question,
X x 2/5  + 6/60 = X x 2/7 – 6/60
2 X/5 – 2 X/7 = 1/10 + 1/10
(2 X x 7 – 2 X x 5 )/35 = (1 + 1)/10
(14 X – 10 X )/35 = 2/10
4 X/35 = 1/5
4 X = 35/5
4 X = 7
X = 7/4 km
Hence, the answer is (2) 7/4 km.

Anurag Mishra Professor Answered on 2nd August 2015.
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