Question:
With a speed of 27 km/h, how much distance will be covered by a cyclist in 3 minute 20 second?
Correct Answer
1.5 kilometer
Solution And Explanation
Solution
[Strategy to solve the question: Change the time into second or minute. Then calculate the distance covered in the given time.]
Given,
Speed of the cyclist = 27 km / h
Time = 3 minute 20 second
= 3 × 60 + 20 second = 200 second
Conversion of speed from km/h to m/s
Given, speed = 27 km/h
We know that to convert km/h to m/s, we need to multiply the km/h by 5/18
Thus, 27 km/h
= 27 3 × 5/18 2 m/s
= 3 × 5/2 m/s
= 15/2 m/s
Thus, speed = 7.5 m/s
Calculation of distance covered in the given time using formula
We know that,
Distance = Speed × Time
Thus, distance covered by the given cyclist
= 7.5 m/s × 200 second
= 1500 meter
= 1500/1000 km
= 1.5 km
Thus, distance covered by the cyclist in the given time = 1.5 km Answer
Calculation of distance covered by the cyclist in the given time using Unitary Method
Given,
Time = 3 minute 20 second
= 3 × 60 second + 20 second
= 180 second + 20 second
⇒ Time = 200 second
And, speed = 27 km/h
This, means speed in 60 × 60 second = 27 km
Or, speed in 3600 second = 27 km
Now,
∵ In 3600 second, the distance covered = 27 km
∴ In 1 second, the distance covered = 27 km/3600 second
∴ In 200 second, the distance covered = 27 km/3600 18 second × 200 second
= 27 3 1.5/18 2 km
= 1.5 km
Thus, distance covered by the cyclist in the given time = 1.5 km Answer
Calculation of distance covered without changing the time and km in other than given unit
[But, here we need to either change the speed in km/minute or time into hour. Because without having similar units, the calculation cannot be performed.
So, either we have to convert the speed according to the given unit of time or time into given unit of speed.]
Thus, here we can perform the calculation by changing the hour into minute in the given speed.
Given, speed = 27 km/h
Thus, by converting hour into minute, we can say
The given speed = 27 km per 60 minute
That means, distance covered in 60 minute = 27 km
And, given time = 3 minute 20 second
= 3 minute + 20 /60 minute
= 180 + 20 /60 minute
= 20 0 /6 0 minute
= 20 /6 minute
= 20 10 / 6 3 minute
⇒ Time = 10 /3 minute
Calculation of distance covered in the given time using Unitary method
Now,
∵ In 60 minute, the distance covered = 27 km
∴ In 1 minute, the distance covered = 27/60 km
∴ In 10 /3 minute, the distance covered = 27 9 / 60 6 × 10 / 3 km
= 9 /6 km
= 1.5 km
Thus, distance covered in the given time of 3 minute 20 second = 1.5 km Answer
Similar Questions
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(2) At a certain speed a car covers a distance of 30 km in 2 hours. How much distance will it cover in 3 hour?
(3) At a certain speed a scooty covers a distance of 32 km in 4 hours. How much distance will it cover in 5 hour?
(4) By running at a speed of 17 km/h how much distance a scooty will cover in 7 second?
(5) By running at a speed of 40 km/h how much distance a scooty will cover in 7 second?
(6) By running at a speed of 28 km/h how much distance an athlete will cover in 10 second?
(7) Find the distance covered by a motor bike in 23 hours if it covers a distance of 50 km in 13 hours.
(8) Find the distance covered by a scooty in 22 hours if it covers a distance of 74 km in 12 hours.
(9) At a certain speed a scooty covers a distance of 52 km in 4 hours. How much distance will it cover in 5 hour?
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