Question

Have recently joined a new office. Walking at 5 km/hour, you reach the office from your house 15 minutes early and walking at 3 km/hour, you are late by 9 minutes. The distance between your house and office is

Answer 1

Answer:

Let the total time be = x

Then, we know that:

$\tt {Distance = Speed \times Time}$

According to the question, equations formed:

$\tt {5 (x - \frac {15}{60}) = 3 (x+\frac {9}{60})}$

=》 $\tt {5x - \frac {1}{4} = 3x + \frac {3}{20}}$

=》 $\tt {5x - 3x = \frac {9}{20} + \frac {3}{20}}$

=》》$\tt {x = \frac {17}{20}}$

=》 $\tt{x = 8.5 \: hours}$

Put this value in any of the equations and solve.

=》 $\tt{Distance = 41.25\: kms}$

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$\mathfrak {Hope \:it\: helps\: ya!}$