Calculate Chandu's Running Time
The problem asks for the time in minutes Chandu takes to cover a distance of $600 \text{ m}$ running at a speed of $30 \text{ km/h}$.
Identify Given Information
- Distance ($d$): $600 \text{ m}$
- Speed ($s$): $30 \text{ km/h}$
Convert Units for Calculation
To calculate time in minutes, we need consistent units. Let's convert the speed from $\text{km/h}$ to $\text{m/min}$.
- First, convert speed to meters per hour ($\text{m/h}$): $ s = 30 \text{ km/h} \times 1000 \frac{\text{m}}{\text{km}} = 30000 \text{ m/h} $
- Next, convert speed to meters per minute ($\text{m/min}$): $ s = 30000 \text{ m/h} \div 60 \frac{\text{min}}{\text{h}} = 500 \text{ m/min} $
Calculate Time
Use the formula relating distance, speed, and time: $ \text{Time} = \frac{\text{Distance}}{\text{Speed}} $. $ t = \frac{d}{s} $ Substitute the values in consistent units:
$ t = \frac{600 \text{ m}}{500 \text{ m/min}} $ $ t = \frac{6}{5} \text{ min} $Express Time in Mixed Fraction
Convert the improper fraction to a mixed number:
$ t = 1 \frac{1}{5} \text{ min} $ Therefore, Chandu takes $1 \frac{1}{5}$ minutes to cover the distance.Similar Questions
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A train travelling at a speed of 72 km/hr crosses a post in 20 seconds. If it crosses another train travelling at a speed of 54 km/hr in the same direction in 1 minute 45 seconds, then the difference in length between the two trains is
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