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Question

How many minutes will Chandu take to cover a distance of $600 \text{ m}$, if he runs at a speed of $30 \text{ km/h}$?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
$1 \frac{1}{5} \text{ min}$

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.
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Important Questions from Speed Time and Distance

  1. A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?

  2. A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.

  3. A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?

  4. An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:

  5. A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?

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