The speed of electric train is 25% more than that of steam engine train. What is the time taken by an electric train to cover a distance which a steam engine takes 4 hours 25 minutes to cover ?
A. $$3\frac{1}{10}$$ hrs
B. $$3\frac{11}{15}$$ hrs
C. $$3\frac{11}{12}$$ hrs
D. $$3\frac{8}{15}$$ hrs
Answer: Option D
Solution(By Examveda Team)
Let the speed of steam engine train be xThen, speed of electric train = 125% of x = $$\frac{5x}{4}$$
Time taken by steam engine :
= 4 hrs 25 min
= $$4\frac{25}{60}$$ hrs
= $$4\frac{5}{12}$$ hrs
Let the time taken by electric train be $$t$$ hours
Then,
$$\eqalign{ & \Rightarrow x:\frac{{5x}}{4}::t:4\frac{5}{{12}} \cr & \Rightarrow 1:\frac{5}{4}::t:\frac{{53}}{{12}} \cr & \Rightarrow \frac{5}{4}t = \frac{{53}}{{12}} \cr & \Rightarrow t = \left( {\frac{{53}}{{12}} \times \frac{4}{5}} \right) \cr & \Rightarrow t = \frac{{53}}{{15}} \cr & \Rightarrow t = 3\frac{8}{{15}}{\text{ hrs}} \cr} $$
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Comments ( 1 )
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
Why can't we just take 75% of 4hr 25 min?