Question

An aeroplane covers a distance of 2415 km in 6 hours. How much distance will it cover in 8 hours ?

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Answer 1

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• An aeroplane covers a distance of 2415 km in 6 hours. How much distance will it cover in 8 hours ?

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• An aeroplane covers a distance of 2415 km in 6 hours.

$\\ \pmb{ \underline{ \underline {\bf{T} \sf{o} \: \bf {F} \sf{ind}}}} \: :$

• Distance will it cover in 8 hours ?

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• Ratio of distance covered = Ratio of time taken.
• Product of means = Product of extremes.

$\\ \large{ \underline{ \underline {\bf{R} \sf{equired} \: \bf {S} \sf{olution}}}} \: : -$

Let, the distance covered by the aeroplane in 8 hours be x.

Substituting the values according to the formula ;

Ratio of distance covered = Ratio of time taken.

$\\ : \implies \tt\: 2415 \: : \: x \: : : \: 6 \: : \: 8$

Product of means = Product of extremes

$\\ \pmb {\underline{Cross \: multiplying \: them \: : }}$

$: \implies \tt \: x \times 6 = 2415 \times 8 \\\\\ : \implies \tt \: x = \frac{2415 \times 8}{6} \\\\\ : \implies \tt \: x=\frac{19320}{6} \\\\\ \bigstar \: \: {\color{purple}{\underline{ \boxed{\longrightarrow \tt \:x=3220 }}}} \: \: \bigstar$

Hence, the aeroplane will cover 3220 km in 8 hours.

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