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The speed of a train is 90┬аkm/h. What is the distance covered by it in 10 minutes?
13 km
5 km
15 km
11 km
15 km
Since the speed is 90 km/h, it covers 90 km in 60 minutes. Therefore, in 10 minutes (which is 1/6th of an hour), it covers 90 / 6 = 15 km.
Speed of the train = 90 km/h, Time taken = 10 minutes.
Distance=Speed├ЧTime
Since the speed is 90 km/h, it covers 90 km in 60 minutes. Therefore, in 10 minutes (which is 1/6th of an hour), it covers 90 / 6 = 15 km.
Students often forget to convert the time from minutes to hours, or they perform the calculation as 90 * 10 = 900, which is incorrect as the time units do not match.
Convert units
To use the formula Distance=Speed├ЧTime with the speed in km/h, the time must be in hours. Convert 10 minutes to hours by dividing by 60.
Time=6010тАЛ┬аhours=61тАЛ┬аhours
Calculate distance
Substitute the speed and the converted time into the distance formula.
Distance=90├Ч61тАЛ=15┬аkm
C is correct because the distance covered by the train moving at 90 km/h in 10 minutes is 15 km.
This type of conversion is frequently tested in 'Average Speed' and 'Relative Speed' problems in competitive exams; always check if units match before multiplying.
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