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Question: Salma takes 15 minutes from her house to reach her school on a bicycle. If the bicycle has a speed o...

Salma takes 15 minutes from her house to reach her school on a bicycle. If the bicycle has a speed of 2m/s2m/s . Calculate the distance between her house and the school.

Explanation

Solution

Hint
The speed of an object is defined as the total distance covered by it divided by the time it takes to complete that distance. Speed tells us how fast or how slow an object is going. To solve the question the equation needs to be rearranged and the units need to be converted into the same.

Complete step by step answer
S=dtS = \dfrac{d}{t}
Where s is the speed, d is the distance and t is the time taken.
By rearranging the equation as-
d=s×td = s \times t
We have speed, 2m/s2m/s
And the time taken to cover this distance is 15 minutes.
Since the unit of time is given in minutes, it is converted into seconds.
We know that,
1min=60sec1\min = 60\sec
Therefore,
15min=60×15sec15\min = 60 \times 15\sec
time=900sectime = 900\sec
Putting these values in the formula for distance we get,
d=2×900d = 2 \times 900
d=1800md = 1800m
Hence, the distance of Salma’s school from home is 18001800 meters or 1.81.8 kilometres.

Additional Information
Distance and displacement are different quantities yet they both measure length. And have units of meters.
Distance is defined as the length of path taken by an object to reach from one point to another, while displacement is defined as the shortest path that can be taken to reach from one point to another.
Distance can follow any curved or straight path but displacement is always a straight line. The values of distance and displacement are the same when the object follows a straight path. If an object travels a distance and comes back at the same spot, its displacement would be zero, but it will still have covered a distance.
Displacement always has a direction associated with it. This makes distance a scalar quantity and displacement a vector quantity.

Note
Whenever any questions in distance, speed and time are solved, the units have to be kept in mind. Time should be converted from hours to minutes or to seconds as necessary. And the distance in meters or kilometers. A simple conversion chart is shown below:
time:1hr=60min=3600sectime:1hr = 60\min = 3600\sec
distance: 1km=1000m=100,000cm{\text{distance: }}1km = 1000m = 100,000cm