Question

a train at a uniform speed covers a distance of 350 km in
$3 \times \frac{1}{2}$
hours. find the speed of the train and the distance covered in 5 hours​

Answer 1

$\large\underline{ \underline{ \sf \maltese\red{ \: Question:- }}}$

• A train at a uniform speed covers a distance of 350 km in $3 \times \frac{1}{2}$ hours. Find the speed of the train and the distance covered in 5 hours

$\underbrace\red{\boxed{ \sf \blue{ Understanding \: the \: Question \: Properly\: }}}$

• In this question , it's given that a Train is moving at a uniform speed and it covers 350km in $3 \times \frac{1}{2}$ hours . And we have to find the speed of the train and the distance covered in 5 hours. For this , We will find the speed first then we will apply the Formula Distance = Speed × Time to find the distance covered in 5 hours.

$\large\underline{ \underline{ \sf \maltese\red{ \: Given :- }}}$

• Distance = $\sf\green{ 350km }$
• Time = $\sf\green{ 3 \times \frac{1}{2} \: = \: \frac{7}{2}hours }$

$\large\underline{ \underline{ \sf \maltese\red{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Speed \: = \: \frac{Distance}{Time} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{Speed \: = \: 350 \: \div \: \frac{7}{2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{Speed \: = \: \frac{350 \: \times \: 2}{7} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{Speed \: = \: \frac{\cancel{350} \: \times \: 2}{\cancel7} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{Speed \: = \: 50 \: \times \: 2 }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ Speed \: = \: 100km/h }}}$

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$\bf \therefore \; Speed \; = 100km/h$

Distance Covered in 5 hours :-

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Distance \: = \: Speed \: × \: Time }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{Distance \: = \: 100\: × \: 5}}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ \: Distance\: = \: 500km }}}$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Distance\: Covered \: in \: 5 \: hours = \underline {\underline{ 500km}}}\\\end{gathered}\end{gathered}$

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Answer 2

Speed = distance/ time

= 350 / 3.5

= 100 km/h

distance = speed × time

= 100 × 5

= 500 km/h

hope it may help you