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Mathematics

A car covers a distance of 276.75 km in 4.5 hours. What is the average speed of the car?

Decimals

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Answer

Given:

Distance = 276.75 km

Time = 4.5 hours

Speed = ?

We know the formula,

Speed = Distance ÷ Time

Substituting the values:

Speed = 276.75 km ÷ 4.5 hours

= 276.75×104.5×10\dfrac{276.75 \times 10}{4.5 \times 10}

= 2767.545\dfrac{2767.5}{45} \quad [Multiplying both sides by 10 to make denominator a whole number]

On dividing 2767.5 by 45, we get:

61.545)2767.5270.0067.045.022522500\begin{array}{r} 61.5 \ 45 \overline{\smash{)} 2767.5 } \ \underline{270} \phantom{.00} \ 67 \phantom{.0} \ \underline{45} \phantom{.0} \ 225 \ \underline{225} \ 0 \phantom{0} \end{array}

276.75 ÷ 4.5 = 61.5

Hence, the average speed of the car is 61.5 km/h

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