Question

I started on my bicycle at $7$ A.M. to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for $35$ minutes and came back to my house walking all the way. I reached my house at $1$ P.M. If my cycling speed is $10$ km/hr and my walking speed is $1$ km/hr, then what distance did I cover on my bicycle?

• A. $3\frac{61}{66}$ km
• B. $4\frac{61}{66}$ km
• C. $6\frac{61}{66}$ km
• D. $7\frac{61}{66}$ km

Answer 1

The correct option is B $4\frac{61}{66}$ km

Time taken $=5$ hrs $25$ min $=\frac{65}{12}$ hrs

Let the required distance be $x$ km

Then, $\frac{x}{10}+\frac{x}{1}=\frac{65}{12}$

$\Rightarrow 11x=\frac{650}{12}$

$\Rightarrow x=\frac{325}{66}=4\frac{61}{66}$ km