Question

A train at a uniform speed covers a dustance of 240 km in 5/2 hours.find the speed of the train and also the distance travelled by the train in 6 hours​

Answer 1

$\large\boxed{\fcolorbox{red}{Yellow}{good ~ afternoon}}$

$\huge \underline \mathsf \red {Solution:-}$

$\bf{\underline{\underline \blue{AnswEr:}}}$

The speed of the train = 96 km/hours

The distance travelled by train in 6hours = 576 km

$\bf{\underline{\underline \blue{Given\: Information:}}}$

A train at a uniform speed covers a dustance of 240 km in 5/2 hours.

$\bf{\underline{\underline \blue{Need\: To\:Find:}}}$

The speed of the train = ?

The distance travelled by the train in 6 hours = ?

$\huge \underline \mathsf \red {Explanation:-}$

$\dag$In First Situation:

$\bf{\underline{\underline \green{Given:}}}$

Distance covered by train = 240km

Time taken = $\mathsf {\frac{5}{2} \: hours}$

$\bf{\underline{\underline \green{Need\: To\:Find:}}}$

The speed of the train = ?

$\bf{\underline{\underline \green{Formula\: Used\:Here:}}}$

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

$\bf{\underline{\underline \green{Now,Putting\:The\: Values:}}}$

$\longrightarrow \sf {Speed \:of \:the \:train = 240 \div \frac{5}{2}\:Km}$

$\longrightarrow \sf {Speed\: of \:the \:train = 240 \times \frac{2} {5} \:Km}$

$\longrightarrow \sf {Speed \:of\: the \:train = 96km/hours}$

$\bf{\underline{\underline \green{Therefore:}}}$

The speed of the train = 96 km/hours

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

$\dag$In Second Situation:

$\bf{\underline{\underline \green{Given:}}}$

Time = 6 hours

Uniform Speed = 96km/hours

$\bf{\underline{\underline \green{Need\: To\:Find:}}}$

The distance travelled by the train in 6 hours = ?

$\bf{\underline{\underline \green{Formula\: Used\:Here:}}}$

$\bigstar \: \boxed{ \sf \: Distance = Speed \times Time }$

$\bf{\underline{\underline \green{Now,Putting\:The\: Values:}}}$

$\longrightarrow \sf {Distance = 96 \times 6}$

$\longrightarrow \sf {Distance = 576 \:km}$

$\bf{\underline{\underline \green{Therefore:}}}$

The distance travelled by train in 6 hours = 576km

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

Answer 2

Answer:

Speed is 96kmph

and Travels 576km in 6 hours.

Step-by-step explanation:

Train travels 240 km in 2.5 hours

hence it travels 480 km in 5 hours

Hence it travels 96 km / hour

Speed of train is 96kmph

therefore, 96 x 6

= 576 KM

Train Travels 576 km in 6 hours

Hope it helps you mark as Brainliest.

Thank You

Take care