Question

train a takes 16 hours to reach Chicago from Washington while train b takes 20 hour the ratio of the speed of both the train​

Answer 1

Answer:

Time taken by Train A = 16hrs

Time Taken by Train B = 20hrs

Ratio = 16:20 = 8:10 = 4:5

Answer 2

★ Solution :-

Given ,

Time taken by Train A = 16 hrs

Time talen by train B = 20 hrs

We need to find ,

Ratios of speeds of trains A & B

Here , the distance is same (Chicago to Washington) &

First finding the speed of train A

As we know that ,

Speed =

$\bf \dfrac{Distance}{time} </p><p>time</p><p>Distance</p><p>$

Let the distance between Chicago & Washington be x

$\rm \longrightarrow Speed_{\big(train \;A\big)}= \bf\dfrac{x}{16} km/h</p><p>⟶Speed </p><p>(trainA)$

$= </p><p>16</p><p>x</p><p> </p><p> km/h$

Hence , speed of train A =

$\bf\dfrac{x}{16}km/h </p><p>16</p><p>x</p><p> </p><p> km/h$

Now , finding speed of train B

$\rm\longrightarrow Speed_{\big(train \; B\big)} = \bf \dfrac{x}{20} km/h \\ ⟶Speed </p><p>(trainB)</p><p> </p><p> = </p><p>20</p><p>x</p><p> </p><p> km/h$

Now ,

$\begin{gathered}\bullet\;\bf S_{\big(train \;A\big)} : S_{\big(train \; B\big)}\\\\\rm\longrightarrow \dfrac{x}{16}:\dfrac{x}{20} \\\\\longrightarrow\boxed{\bf 20:16}\end{gathered} </p><p></p><p> </p><p> </p><p>∙S </p><p>(trainA)$

$:S </p><p>(trainB)</p><p> </p><p> </p><p>⟶ </p><p>16</p><p>x</p><p> </p><p> : </p><p>20</p><p>x</p><p> </p><p> </p><p>⟶ </p><p>20:16</p><p>$

$hence \: ratio \: = 20 \16$