Question

A train running at $\frac{7}{11}$ of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed ?

• A. 7 hours
• B. 8 hours
• C. 14 hours
• D. 16 hours

Answer 1

The correct option is B 8 hours

Let s be the actual speed of the train and d be the distance that needs to be covered to reach that place.

Here, speed$=\frac{Distance}{Time}$

As per question,

The train is running at $\frac{7}{11}$ of its own speed and reaches the place in $22$ hrs.

$\therefore d=\frac{7}{11}s.22$

$\Rightarrow d=14s$ ………..$\left(1\right)$

Let t be the time taken by the train to reach the place with its actual speed.

$\therefore d=st$ ………..$\left(2\right)$

from $\left(1\right)$ and $\left(2\right)$, we get

$14s=st$

$\Rightarrow t=14$ hours

$\therefore$ Time that could be saved$=22-14$

$=8$hrs.