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

Step-by-step explanation:

Answer:

20 : 16

Step-by-step explanation:

Let the distance between Mumbai and Delhi be x

Train a takes 16 hours to reach Mumbai to Delhi

So, Distance = x

Time = 16

Speed =\frac{Distance}{Speed}Speed=SpeedDistance

Speed =\frac{x}{16}Speed=16x

Train b takes 20 hrs

Distance = x

Time = 20

Speed =\frac{Distance}{Speed}Speed=SpeedDistance

Speed =\frac{x}{20}Speed=20x

Ratio of their speeds = \frac{x}{16}:\frac{x}{20}16x:20x

                                   = 20 : 16

Hence ratio of speed of both train is 20 : 16

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 = $\bf \dfrac{Distance}{time}$

Let the distance between Chicago & Washington be x

$\rm \longrightarrow Speed_{\big(train \;A\big)}= \bf\dfrac{x}{16} km/h$

Hence , speed of train A = $\bf\dfrac{x}{16}km/h$

Now , finding speed of train B

$\rm\longrightarrow Speed_{\big(train \; B\big)} = \bf \dfrac{x}{20} km/h$

Now ,

$\bullet\;\bf S_{\big(train \;A\big)} : S_{\big(train \; B\big)}\\\\\rm\longrightarrow \dfrac{x}{16}:\dfrac{x}{20} \\\\\longrightarrow\boxed{\bf 20:16}$

$\therefore \underline{\rm Hence\;ratio\;of\;train\:A\;\&\;train\:B=20:16}$