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Mathematics

Find the distance covered by a car in 2252\dfrac{2}{5} hours at a speed of 462346\dfrac{2}{3} km per hour.

Rational Numbers

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Answer

Given:

Time taken = 2252\dfrac{2}{5} hours = 125\dfrac{12}{5} hours

Speed of the car = 462346\dfrac{2}{3} km per hour = 1403\dfrac{140}{3} km per hour

Total distance = ?

We know the formula,

Distance = Speed x Time

Substituting the values in above, we get:

Distance = 1403\dfrac{140}{3} km per hour x 125\dfrac{12}{5} hours

=1403×125 km=281×41 km=28×41×1 km=1121 km=112 km= \dfrac{140}{3} \times \dfrac{12}{5} \text{ km} \\[1em] = \dfrac{28}{1} \times \dfrac{4}{1} \text{ km} \\[1em] = \dfrac{28 \times 4}{1 \times 1} \text{ km} \\[1em] = \dfrac{112}{1} \text{ km} \\[1em] = 112 \text{ km}

Hence, the distance covered by the car is 112 km.

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