I started on my bicycle at 7 am 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 pm. If my cycling speed is 10 kmph and my walking speed is 1 kmph, then on my bicycle I covered a distance of :
A. $$4\frac{61}{66}$$ km
B. $$13\frac{4}{9}$$ km
C. $$14\frac{3}{8}$$ km
D. $$15\frac{10}{21}$$ km
Answer: Option A
Solution(By Examveda Team)
Time taken := 5 hrs 25 min
= $$\frac{65}{12}$$ hrs
Let the required distance be x km
Then,
$$\eqalign{ & \Leftrightarrow \frac{x}{{10}} + \frac{x}{1} = \frac{{65}}{{12}} \cr & \Leftrightarrow 11x = \frac{{650}}{{12}} \cr & \Leftrightarrow x = \frac{{325}}{{66}} \cr & \Leftrightarrow x = 4\frac{{61}}{{66}}{\text{ km}} \cr} $$
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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