Question

a train covers a distance between station a and station b in 45 minutes .if the speed of the train is reduced by 5 km/hr then the same distance is covered in 48 minutes .what is the distance between the stations a and b?

Answer 1

$\large{\boxed{\bold{Answer:}}}$

Let the speed of the train x Kmph

$Distance \: between \: A \: and \:B \: = \frac{45}{60} \times x$

If we decrease the speed by 5km/h

$Speed \: = (x - 5) \times \frac{48}{60}$

Now,

$\frac{45}{60} \times x = \frac{48}{60} \times (x - 5) \\ \\ = > 45x = 48x - 240 \\ \\ = > 3x = 240 \\ \\ = > x = \frac{240}{3} \\ \\ = > x = 80$

Speed of the train is 80km/h

T = 45 mins 3/4 of an hour

To find the distance,

D = st

$80 \times \frac{3}{4} = 60$

Distance between A and B is 60 km

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Answer 2

Heya mate here's ur answer
....
Let the speed of the train be Xkm/hr

Therefore the distance travelled in between the places ⭐A And ⭐B should be
$\frac{45}{60} \times x$

(➗ divided by 60 to convert it into hours).

......... EQUATION NO. 1

Now if we decrease the speed of the train by 5km/hr..

Then current speed of train
=
$(x - 5) \times \frac{48}{60 }$

.........EQUATION NO. 2

NOW, ON EQUATING (1) AND (2) WE GET....

$\frac{45}{60 } \times x = \frac{48}{60} \times (x - 5)$
So, 45x = 48x-240

Now, 3x=240

X=80

Therefore the speed of the train will be 80km/hr

Now time = 3/4 (simplest form of 45/60.

Now on applying
The formula
Distance =speed ×time

we get the distance
as...80×3/4=60km= distance

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