Question : A girl, walking at $\frac{5}{6}$ of her usual speed, misses the bus by 7 minutes. How long does it usually take to reach the bus stop?
Option 1: 24 minutes
Option 2: 35 minutes
Option 3: 30 minutes
Option 4: 60 minutes
Correct Answer: 35 minutes
Solution :
Given,
A girl, walking at $\frac56$ of her usual speed, misses the bus by 7 minutes.
We know,
Distance covered = speed × time taken
Let the usual speed and usual time to reach the bus be $v$ and $t$, respectively.
⇒ The distance of the bus from her home is $vt=\frac{5v}{6}(t+7)$
⇒ $6t = 5t + 35$
⇒ $t$ = 35 minutes
Hence, the correct answer is 35 minutes.
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