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A student rides a bicycle at 8 kms/hr and reaches the school 2.5 minutes late. The next day he increases the speed to 10 kms/hr and reaches school 5 minutes early. How far is the school - Mathematics

MCQ

A student rides a bicycle at 8 kms/hr and reaches the school 2.5 minutes late. The next day he increases the speed to 10 kms/hr and reaches school 5 minutes early. How far is the school from his house?

Options

  • 4 kms

  • 8 kms

  • 5 kms

  • 10 kms

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Solution

5 kms

Explanation:

Let Distance be = D, Speed S1 = 8 km/m, Speed S2 = 10 km/m,

`"D"/"S"_1-"D"/"S"_2="T"_1-"T"_2` ..... `(∴"D"/"S" ="T")`

`"D"/8-"D"/10`=7.5 minutes or `7.5/60` m

`(5"D"-4"D")/40=75/600⇒5`

D = 5 km

Concept: Time, Distance and Speed(Entrance Exam)
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