Question:
By running at a speed of 27 km/h how much distance a motor bike will cover in 8 second?
Correct Answer
60 meter
Solution And Explanation
Solution
Given,
Speed = 27 km/h
Time = 8 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, 27 km/h = 27 × 5/18 m/s
= 27 × 5/18 m/s
= 135/18 = 7.5 m/s
Thus, speed = 7.5 m/s
Calculation of distance using formula
Formula to calculate distance when speed and time are given
Distance = Speed × Time
⇒ Distance = 7.5 m/s × 8 s = 60 m
Thus, distance = 60 meter Answer
Calculation of distance using Unitary Method
∵ In 1 second the distance covered = 7.5 meter
∴ In 8 second, the distance covered = 7.5 m × 8 = meter
Thus, distance = 60 meter Answer
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(3) At a certain speed a cyclist covers a distance of 72 km in 3 hours. How much distance will it cover in 4 hour?
(4) An athlete takes 10 second to complete a race of 200 meter. Find the speed of the athlete in kilometre per hour.
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(6) Find the distance covered by an athlete in 25 hours if it covers a distance of 94 km in 15 hours.
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(8) Find the distance covered by a motor bike in 23 hours if it covers a distance of 52 km in 13 hours.
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(10) Find the distance covered by a car in 20 hours if it covers a distance of 54 km in 10 hours.