Question:
By running at a speed of 5 km/h how much distance a cyclist will cover in 6 second?
Correct Answer
8.34 meter
Solution And Explanation
Solution
Given,
Speed = 5 km/h
Time = 6 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, 5 km/h = 5 × 5/18 m/s
= 5 × 5/18 m/s
= 25/18 = 1.39 m/s
Thus, speed = 1.39 m/s
Calculation of distance using formula
Formula to calculate distance when speed and time are given
Distance = Speed × Time
⇒ Distance = 1.39 m/s × 6 s = 8.34 m
Thus, distance = 8.34 meter Answer
Calculation of distance using Unitary Method
∵ In 1 second the distance covered = 1.39 meter
∴ In 6 second, the distance covered = 1.39 m × 6 = meter
Thus, distance = 8.34 meter Answer
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(2) By running at a speed of 47 km/h how much distance a bus will cover in 9 second?
(3) By running at a speed of 45 km/h how much distance a car will cover in 5 second?
(4) Find the distance covered by a cyclist in 21 hours if it covers a distance of 64 km in 11 hours.
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