
Esha travelled 2.15 km by walking, 5.75 km by a bus and then 30.25 km by a local train. Find the total distance travelled in metres :
Answer
580.2k+ views
Hint:
Since we are given the distance traveled by all the different means and we are asked to calculate the total distance, first, we will see if there is any unit conversion required to get all the distances into one common unit. Then we will simply add all the given distances to get the total distance. Since the final distance here will come in kilometers we need to convert it into meters as per the question to reach the final answer.
Complete step by step solution:
According to the question, we are given that
Distance covered by Esha by walking ${d_w}$ is
$ \Rightarrow {d_w} = 2.15km$ … (1)
Distance covered by Esha by a bus ${d_b}$ is
$ \Rightarrow {d_b} = 5.75km$ … (2)
Distance covered by Esha by a local train ${d_t}$ is
$ \Rightarrow {d_t} = 30.25km$ … (3)
Hence, total distance covered is the sum of distance covered by all the given means,
Let total distance be ${d_{total}}$ ,
$ \Rightarrow \,\,{d_{total}} = {d_w} + {d_b} + {d_t}$ … (4)
Now, using (1),(2), and (3) in (4), we get
$ \Rightarrow {d_{total}} = (2.15 + 5.75 + 30.25)km$
On adding we get,
$ \Rightarrow {d_{total}} = 38.15km$ … (5)
We know that,
$1km = 1000m$ … (6)
Using (6) in (5), we get
$ \Rightarrow \,\,{d_{total}} = 38.15 \times 1000\,m$
On simplification we get,
$ \Rightarrow {d_{total}} = 38150m$
Hence, the final answer is 38,150m
Note:
Be careful while doing these types of direct formula based questions. They may look very easy but different variables given in the question may have different units and hence they are first required to be converted into one common unit so that it can be solved. If not converted, the answer would surely be wrong. Also, read the question carefully as it needs the answer into meters, so we need to convert the answer into meters if it is in some other unit.
Since we are given the distance traveled by all the different means and we are asked to calculate the total distance, first, we will see if there is any unit conversion required to get all the distances into one common unit. Then we will simply add all the given distances to get the total distance. Since the final distance here will come in kilometers we need to convert it into meters as per the question to reach the final answer.
Complete step by step solution:
According to the question, we are given that
Distance covered by Esha by walking ${d_w}$ is
$ \Rightarrow {d_w} = 2.15km$ … (1)
Distance covered by Esha by a bus ${d_b}$ is
$ \Rightarrow {d_b} = 5.75km$ … (2)
Distance covered by Esha by a local train ${d_t}$ is
$ \Rightarrow {d_t} = 30.25km$ … (3)
Hence, total distance covered is the sum of distance covered by all the given means,
Let total distance be ${d_{total}}$ ,
$ \Rightarrow \,\,{d_{total}} = {d_w} + {d_b} + {d_t}$ … (4)
Now, using (1),(2), and (3) in (4), we get
$ \Rightarrow {d_{total}} = (2.15 + 5.75 + 30.25)km$
On adding we get,
$ \Rightarrow {d_{total}} = 38.15km$ … (5)
We know that,
$1km = 1000m$ … (6)
Using (6) in (5), we get
$ \Rightarrow \,\,{d_{total}} = 38.15 \times 1000\,m$
On simplification we get,
$ \Rightarrow {d_{total}} = 38150m$
Hence, the final answer is 38,150m
Note:
Be careful while doing these types of direct formula based questions. They may look very easy but different variables given in the question may have different units and hence they are first required to be converted into one common unit so that it can be solved. If not converted, the answer would surely be wrong. Also, read the question carefully as it needs the answer into meters, so we need to convert the answer into meters if it is in some other unit.
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