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Question: Sameera was driving a car with a uniform speed of \(60kmph\) . Find the distance travelled by Sameer...

Sameera was driving a car with a uniform speed of 60kmph60kmph . Find the distance travelled by Sameera in 3123\dfrac{1}{2} hours.

Explanation

Solution

When a car is being driven with uniform speed, it covers equal distance in equal time. Usually we would convert the given speed to standard units but since the time is also given in hours here, we can simply find the distance travelled in kilometres. We use the basic formula used for speed in physics and some very basic mathematics for these kinds of questions.
Formula used:
The formula used in this question is a formula we learnt in basic motion of any system in physics. It related speed of a body with the distance travelled and the time taken using the formula that can be mathematically represented as below
s=dts = \dfrac{d}{t}
Where ss is the speed of the body and dd is the distance travelled with tt time taken.

Complete step by step solution:
It is given in the question that Sameera drives her car at a particular uniform speed. This means she covers equal distance in her car in equal time. If she covered, say dd kilometres in tt hours then she would again cover dd kilometres in next tt hours. The distance covered is determined by the speed of her car and the time she drives it.
The speed of her car is given as 60kmph60kmph and she drives her car at this particular speed for 3123\dfrac{1}{2} hours. This means that s=60kmphs = 60kmph and t=3.5hrst = 3.5hrs
Therefore the distance travelled is
d=s×td = s \times t
d=60×3.5\Rightarrow d = 60 \times 3.5
d=210km\Rightarrow d = 210km
Therefore Sameera travels 210km210km .

Note:
Usually, it should be the first step to convert the speed and time to standard units before we solve it. But since, the time and the speed are both given in the same units, we need not convert them and can simply answer the question in the given format.