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Q.

A motorist travelled the distance between two towns which is 65 km in 2 hours and 10 minutes. The speed in metres per minute is ____.


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Detailed Solution

Concept: The speed is found to be 500 m/min. A motorist travelled the distance between two towns which is 65 km in 2 hours and 10 minutes. The speed in metres per minute is 500 metre per minute. Speed is equal to the distance travelled divided by the time required. Speed = DT can be used to express this mathematically. In this case, D stands for distance and T for time.
We must calculate speed in units of metres per minute in accordance with the query. We shall therefore convert each unit to metres and minutes. The amount of time required for the question is 2 hours, 10 minutes. Put minutes in this unit. This is calculated using the formula 1 hour = 60 minutes. In other words, 1 hour is equal to 60 minutes, or 1 hour is equal to 1 hour and 60 minutes.
Therefore, the time of 2 hours and 10 minutes in the question can be represented as 2 hours + 10 minutes, which equals 2 (60 minutes) + 10 minutes. Here, at this stage, we've changed an hour into 60 minutes. Thus, 2 (60 minutes) plus 10 (minutes) equal 120 minutes plus 10 minutes. As a result, 130 minutes have passed.
Now that we know the details of the motorist in question, we know that he has driven 65 kilometres. We will convert the 65 km into metres because we need the answer in metres per minute. We shall apply the formula 1 kilometre = 1000 metre for this. Therefore, as 65 km might be expressed as 651 km, we shall substitute the value of 1 kilometre in 65 km. As a result, 65 km Equals 651 km. We shall now use the conversion factor 1 km = 1000 metre. As a result, 65 kilometres Equals 1000 metres.
As a result, the distance travelled by the driver is 65000 metre. Now, we use the formula to determine the driver's speed. This can be accomplished by applying the equation speed = DT. The speed of the driver is 500 metres per minute by substituting the values of distance and time as 65000 metres and 130 minutes, respectively.
speed=65000130 ⇒speed=500 metre per minute.
Hence, answer is 500 m/min.
 
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