Question:
If a cyclist takes 5 hours to cover a distance of 30 km, then what will be his speed in meter per minute?
Correct Answer
100 meter/minute
Solution And Explanation
[Strategy to solve the Question: Here distance has been given in kilometre and time has been given in the hour. And speed is to be find in the meter per minute. So, first of all we need to convert the kilometre into meter and time (hour) into minute. Then after the speed will be calculated in the required unit meter per minute]
Given,
Total distance to be covered = 30 km
= 30 × 1000 meter
= 30,000 meter
[∵ 1 km = 1000 meter]
Time took to cover the distance = 5 hour
= 5 × 60 minute
= 300 minute
[∵ 1 hour = 60 minute]
Thus, speed of the cyclist in meter per minute = ?
Calculation of speed in meter per minute
We know that,
Speed = Distance/Time
Here, distance = 30000 meter and time = 60 minute.
Thus, Speed of the given cyclist
= 30000 meter/300 minute
= 100 meter per minute or 100 m/min
Thus, speed of the given cyclist = 100 m/min Answer
Alternate method to calculate the speed of the given cyclist in meter per minute
We can calculate the speed in km/h using the given unit of distance (km) and time (hour), and after then we can change the speed into meter/minute.
In this case,
Calculation of speed in km/h
We know that,
Speed = Distance/Time
Here, distance = 30 km.
And the time = 5 hour
Thus, Speed of the given cyclist
= 30 km/5 hour
= 6 km/h
Thus, speed of the given cyclist = 6 km/h
Conversion of speed from km/h to meter per minute
Here, speed = 6 km/h
= 6 × 1000 100 meter/60 10 minute
[∵ 1 hour = 60 minute]
= 100 meter per minute or 100 m/min
Thus, speed = 100 m/min Answer
Unitary Method (Alternate method) to calculate the speed of the given cyclist
Here, we have to calculate the distance covered by the cyclist in 1 minute.
∵ In 300 minute, the distance covered by the cyclist = 30000 meter
∴ In 1 minute, the distance covered by the cyclist = 30000 meter/300 minute
= 100 meter/min
Thus, speed of the cyclist = 100 m/min Answer
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