A train travels 92.4 km/hr. How many meters will it travel in 10 minutes?
A) 15400
B) 1540
C) 154
D) 15.40
Answer
635.7k+ views
Hint: The formula speed = distance ÷ time can be rearranged, just like any other equation.
The formula can be rearranged in three ways:
Speed = distance ÷ time ……………………. (1)
Distance = speed × time……………………. (2)
Time = distance ÷ speed……………………. (3)
To calculate one of the variables (speed, distance or time) we need the other two.
Conversion of Km to m
1 km = 1000 m……………………. (4)
Conversion of hr to minutes
1 hr = 60 min……………………. (5)
Complete step-by-step answer:
Speed of the train = 92.4 km/hr
Let’s calculate in m/min (Using equation (4) and (5)
Speed = \[\dfrac{{92.4{\rm X}1000}}{{60}} = \dfrac{{92400}}{{60}} = \dfrac{{9240}}{6} = 1540m/\min \]
Time = 10 min
By using equation (2)
$Distance = 1540{\rm X}10 = 15400m$
So, the correct answer is “Option A”.
Note: Whenever you are converting the speed from one to unit to another then make sure you are converting both units of speed. As speed always has two units.
The formula can be rearranged in three ways:
Speed = distance ÷ time ……………………. (1)
Distance = speed × time……………………. (2)
Time = distance ÷ speed……………………. (3)
To calculate one of the variables (speed, distance or time) we need the other two.
Conversion of Km to m
1 km = 1000 m……………………. (4)
Conversion of hr to minutes
1 hr = 60 min……………………. (5)
Complete step-by-step answer:
Speed of the train = 92.4 km/hr
Let’s calculate in m/min (Using equation (4) and (5)
Speed = \[\dfrac{{92.4{\rm X}1000}}{{60}} = \dfrac{{92400}}{{60}} = \dfrac{{9240}}{6} = 1540m/\min \]
Time = 10 min
By using equation (2)
$Distance = 1540{\rm X}10 = 15400m$
So, the correct answer is “Option A”.
Note: Whenever you are converting the speed from one to unit to another then make sure you are converting both units of speed. As speed always has two units.
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