Question : By running at a speed of 46 km/h how much distance an athlete will cover in 10 second?
Correct Answer 127.8 meter
Solution & Explanation
Solution
Given,
Speed = 46 km/h
Time = 10 second
Thus, distance = ?
Here the speed is given in the kilometer per hour while the time is in the second. So, for the ease of calculation, the speed should be converted into meter per second.
Conversion of the speed from kilometer per hour to meter per second
To convert kilometer per hour, the speed is multiplied by 5/18
Therefore, 46 km/h = 46 × 5/18 m/s
= 46 × 5/18 m/s
= 230/18 = 12.78 m/s
Thus, speed = 12.78 m/s
Calculation of distance using formula
Formula to calculate distance when speed and time are given
Distance = Speed × Time
⇒ Distance = 12.78 m/s × 10 s = 127.8 m
Thus, distance = 127.8 meter Answer
Calculation of distance using Unitary Method
∵ In 1 second the distance covered = 12.78 meter
∴ In 10 second, the distance covered = 12.78 m × 10 = meter
Thus, distance = 127.8 meter Answer
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(4) Find the distance covered by an athlete in 25 hours if it covers a distance of 90 km in 15 hours.
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