Question

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

Answer 1

${\frak{Given}} \begin{cases} & \text{Speed of Train = \bf{75\; km/h}} \\ & \text{Time taken = \bf{4.8 hours} } \end{cases}$

$\dag\;{\underline{\frak{We\;know\;that,}}}$

$\star\;{\boxed{\sf{Distance = Speed \times Time}}}$

$\qquad\qquad\qquad\qquad:\implies\sf 7.5 \times 8$

$\qquad\qquad\qquad\quad:\implies{\underline{\boxed{\sf{\pink{360\;km}}}}}\;\bigstar$

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Now,

${\frak{We\;have}} \begin{cases} & \text{Distance = \bf{360 km}} \\ & \text{Time taken = \bf{3 hours}} \end{cases}$

$\dag\;{\underline{\frak{We\;know\;that,}}}$

$\star\;{\boxed{\sf{Speed = \dfrac{Distance}{Time}}}}$

$\qquad\qquad\qquad\qquad:\implies\sf \cancel{ \dfrac{360}{3}}$

$\qquad\qquad\qquad\quad:\implies{\underline{\boxed{\sf{\purple{120\;km/h}}}}}\;\bigstar$

$\therefore\;{\underline{\sf{The\;speed\;of\;the\;train\;is\; \bf{120\;km/h}.}}}$

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$\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}$

• Speed is the rate at which an object covers distance.

• SI unit of speed is m/s.

• Speed is a scalar quantity.

Answer 2

Correct Question-:

• A train moving at a speed of 75 km/hr covers a certain distance in 4.8 hours. what should be the speed of the train to cover the same distance in 3 hours.

AnswEr-:

• The speed of the train to cover the same distance in 3 hours is 120 km/hr .

Explanation-:

Given -:

• A train moving at a speed of 75 km/hr covers a certain distance in 4.8 hours.

To Find -:

• The speed of the train to cover the same distance in 3 hours.

$\boxed{\purple{\sf{Distance \: = \: Speed× Time }}}$

Here ,

• Distance = 4.8 hrs
• Speed = 75 km/hr

Now ,

• =》 4.8 × 75
• =》 360 km

Therefore,

• The total distance covered by train is 360 km. ........[1]

Now ,

• The speed of the train to cover the same distance in 3 hours.

As we know that ,

• $\boxed{\purple{\sf{Speed \: = \: \frac {Distance}{Time}}}}$

Here ,

• Distance = 360 km
• Time = 3 hrs

• $\implies {\pink{\sf{ Speed \: = \frac {360}{3}}}}$
• $\implies {\pink{\sf{ Speed \: = 120 \:km/hr}}}$

Hence ,

• The speed of the train to cover the same distance in 3 hours is 120 km/hr .

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