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Question

Starting from his house one day , a student walks at a speed of `2 1/2` kmph and reaches his school 6 minutes late . Next day he increases his speed by  1 kmph and reaches he school 6 minutes early . How far is the school  from his house ?


Options:
A .  1 km
B .  `1 1/2` km
C .  `1 3/4` km
D .  2 km.
Answer: Option C

Let the distance be `x` km.

Difference in timings = 12 min. =  `12/60 `hr =  `1/5` hr.

`:.`    `  (2x)/(5) - (2x)/7 = 1/5  `

`hArr    14x - 10x = 7       hArr   x = 1 3/4` km. 




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