Since the speed is required in km/hr, convert the given time of 10 minutes into hours. Since 1 hour = 60 minutes, divide 10 by 60, which simplifies to (1)/(6) hr.

A taxi covers 2/5 km in 10 minutes . Find the speed of the car in km/hr

Answer: $2.4\text{ km/hr}$ (or $2\frac{2}{5}\text{ km/hr}$ )

Step-by-step solution

Step 1: Convert time from minutes to hours

Since the speed is required in $\text{km/hr}$ , convert the given time of $10\text{ minutes}$ into hours. Since $1\text{ hour} = 60\text{ minutes}$ , divide $10$ by $60$ , which simplifies to $\frac{1}{6}\text{ hr}$ .

Step 2: State the formula for speed

Speed is defined as the total distance covered divided by the time taken. Here, the distance is $\frac{2}{5}\text{ km}$ and time is $\frac{1}{6}\text{ hr}$ .

Step 3: Calculate the speed in km/hr

Substitute the distance $\frac{2}{5}\text{ km}$ and time $\frac{1}{6}\text{ hr}$ into the formula. Dividing by a fraction is equivalent to multiplying by its reciprocal: $\frac{2}{5} \times 6 = \frac{12}{5} = 2.4\text{ km/hr}$ .

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