Find the distance covered by a car moving at 20 m/s for 3h.
A) 220 km
B) 218 km
C) 216 km
D) 230 km
Answer
Verified
478.8k+ views
Hint: Here first assume the distance covered by the car to be x
Then we will use the formula for speed and evaluate the value of distance x.
The speed is given by:-
Complete step-by-step answer:
Let the distance covered by the car be x
Now we are given that:-
Speed of the car is 20 m/s
The time taken by the car is 3 hours.
Since the time is given in hours and speed is given in m/s so we need to make the unit of time the same.
Hence in order to make the unit same, we will convert hours into seconds
Now since we know that:-
and
Therefore,
Hence 3hr will be equal to:-
Calculating the value we get:-
Now we know that the speed is given by:-
Hence putting in the respective values we get:-
Now evaluating for the value of x we get:-
Therefore, the distance covered is 216000 m
Now we will convert this distance into kilometers.
We know that:
Hence 216000m will be equal to:-
Calculating the value we get:-
Hence the distance covered by the car is 216 km
So, the correct answer is “Option C”.
Note: Students can also convert the speed from m/s to km/hour and then put the respective values in the formula for speed to get the value of distance covered.
Then we will use the formula for speed and evaluate the value of distance x.
The speed is given by:-
Complete step-by-step answer:
Let the distance covered by the car be x
Now we are given that:-
Speed of the car is 20 m/s
The time taken by the car is 3 hours.
Since the time is given in hours and speed is given in m/s so we need to make the unit of time the same.
Hence in order to make the unit same, we will convert hours into seconds
Now since we know that:-
Therefore,
Hence 3hr will be equal to:-
Calculating the value we get:-
Now we know that the speed is given by:-
Hence putting in the respective values we get:-
Now evaluating for the value of x we get:-
Therefore, the distance covered is 216000 m
Now we will convert this distance into kilometers.
We know that:
Hence 216000m will be equal to:-
Calculating the value we get:-
Hence the distance covered by the car is 216 km
So, the correct answer is “Option C”.
Note: Students can also convert the speed from m/s to km/hour and then put the respective values in the formula for speed to get the value of distance covered.
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