Question

a train moving at a speed of 75 km/ h covers a certain distance in 4.8 hour what should be the speed of the train to cover the same distance in 3 hours​

Answer 1

Answer:

speed of train will be 120 km/h

Step-by-step explanation:

s=d/t

d=s×t

d=75×4.8

d=360

then,

s=d/t

s= 360/3

s= 120km\h

Answer 2

$\huge{\boxed{\red{\mathrm{Given \; :- }}}}$

$\large{\longrightarrow{\text{Case - 1 }}}$

$\blacksquare$Speed of the train = 75 km/hr

$\blacksquare$ Time = 4.8 hours

$\large{\longrightarrow{\text{Case - 2 }}}$

$\blacksquare$ Time = 3 hours

$\huge{\boxed{\red{\mathrm{ Required \; to \; find \: :- }}}}$

• Speed of the train ?

Formulae used :-

$\large{\tt{ Distance = Speed \times Time }}$

$\large{\tt{ Speed = \dfrac{Distance }{Time }}}$

Solution :-

Consider the case - 1

Given :-

Speed of the train = 75 km/hr

Time = 4.8 hours

So,

Using the formula

$\large{\tt{ Distance = Speed \times Time }}$

Substitute the values

$\longrightarrow{\tt{ Distance = 75 \; km/hr \times 4.8 \; hr }}$

$\longrightarrow{\tt{ Distance = 360 \; kilometers }}$

Hence,

Distance = 360 kilometers

Similarly ,

Consider case - 2

Given :-

Time = 3 hours

However,

He also mentioned that ;

The distance in both cases is same .

So,

Distance = 360 kilometers

We need to find the speed of the train to travel that distance in 3 hours

Hence,

using the formula ,

$\large{\tt{ Speed = \dfrac{Distance }{Time }}}$

So,

$\longrightarrow{\tt{ Speed = \dfrac{ 360 }{ 3 }}}$

$\longrightarrow{\tt{ Speed = 120 \; km/hr }}$

$\therefore$ The train should travel at a speed of 120 km/hr to cover the distance in 3 hours .