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The distance between Akash's school and ...

The distance between Akash's school and his home is 2km 385m. Every day, he walks to and from the school. Calculate the total distance covered by him from Monday to Friday.

A

23km 870 m

B

23km 850m

C

21km 860m

D

20km 850m

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will calculate the total distance Akash covers from Monday to Friday. ### Step 1: Understand the distance one way The distance from Akash's home to his school is given as: - **2 kilometers and 385 meters** ### Step 2: Calculate the round trip distance for one day Since Akash walks to school and then back home, we need to calculate the total distance for one day: - Distance to school = 2 km 385 m - Distance back home = 2 km 385 m Total distance for one day = Distance to school + Distance back home = \(2 \text{ km } 385 \text{ m} + 2 \text{ km } 385 \text{ m}\) ### Step 3: Convert kilometers to meters for easier addition 1 kilometer = 1000 meters, so: - 2 km = 2000 meters - Therefore, 2 km 385 m = 2000 m + 385 m = 2385 m Now, calculate the total distance for one day: Total distance for one day = \(2385 \text{ m} + 2385 \text{ m} = 4770 \text{ m}\) ### Step 4: Calculate the total distance for five days Now, we need to find out how much distance he covers from Monday to Friday (5 days): Total distance for 5 days = \(5 \times 4770 \text{ m}\) Calculating this: = \(5 \times 4770 = 23850 \text{ m}\) ### Step 5: Convert the total distance back to kilometers and meters To convert meters back to kilometers and meters: - 23850 m = \( \frac{23850}{1000} \) km = 23 km and 850 m ### Final Answer The total distance covered by Akash from Monday to Friday is: - **23 kilometers and 850 meters** ---
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