Question

A train is moving at a uniform speed of 100 km/h. How far will it travel in 20 minutes?

Answer 1

Convert 20 mis in hour

60 mins = 1 hour

20 mins = 1/3 hour

Distance travelled = Speed x Time = 100 x 1/3 km = 33.333 km

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Answer 2

$\bold\blue{Given}$

$\sf{A \: train \: is \: moving \: at \: a \: uniform \: speed \: of \: 100 \: km/h}$

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$\bold\pink{To\:Find}$

$\sf{How \: far \: will \: it \:travel \: in \: 20 \: minutes}$

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$\large\mathfrak\pink{Solution:}$

$\sf{Let \:the \:distance \:travelled \:by\: train\: in \:20} \sf{minutes\:be\: ‘x’ \:km}$

$\begin{gathered}\large\boxed{\begin{array}{cc} \: \sf Distance\: travelled\:(in\:k.m)& \sf Time\:taken\:(in\: minutes) \\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}& \\\sf 100&\sf 60 \\\ \\ \sf x &\sf 20 &\sf \end{array}}\end{gathered}$

$\sf{Since\: the \:speed\: is\: uniform,\:the \: distance} \\ \\ \sf{ travelled\:will \:be\: directly \:proportional}\sf{to\: time}$

Formula to be used,

$\small\underline{\boxed{\sf\;\;\dfrac{x_1 }{y_1 } = \dfrac{x_2 }{y_2 }}} \\ \\ \\ \sf\underline{ \underline{Putting \: values \: in \: the \: formula:}} \\ \\ \\ \sf{\implies \: \dfrac{100}{60} = \dfrac{x}{20} } \\ \\ \\ \sf{ \implies 60 \times x = 2 \times 100} \\ \\ \\ \sf{\implies \: \: x = \dfrac{20 \times 100}{60} = \dfrac{100}{3}\:km } \\ \\ \\ \sf{ = 33 \dfrac{1}{3}\:km }$

$\sf{Hence,}\\\sf{The\: train \:will \:travel\: 33 \dfrac{1}{3}\: km\:in\: 20 \:minutes}$

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