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

Given

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

Find out

Find the speed of the train and also the distance travelled by the train in 6 hours.

Solution

★ In first case

• Distance covered by train = 240km
• Time taken = 5/2 hrs
• Speed = ?

→ Speed = Distance/time

→ Speed = 240/5/2

→ speed = 240 × 2/5

→ speed = 96km/h

Hence, speed of train is 96km/h

____________________

★In second case

• Time = 6hrs
• Speed = 96km/hr {Uniform speed}
• distance = ?

→ Distance = speed × time

→ Distance = 96 × 6

→ Distance = 576 km

Hence, distance travelled by train in 6hours i.e 576km

____________________

Answer 2

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

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

• 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

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$\dag$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

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