Harish wants to meet his friend Farhan. He travels 10 km north and then turns right and travels 2 km. He then goes east for 5 km before reaching Farhan's home. How many km does he travel?
17 km
Calculating Total Distance Traveled
The question asks for the total distance Harish travels to reach Farhan's home. We need to add up the distances covered in each part of his journey.
Let's break down Harish's journey step by step:
- First, he travels 10 km north.
- Then, he turns right and travels 2 km. Since he was going north, a right turn means he is now going east.
- Finally, he goes east for another 5 km before reaching Farhan's home.
To find the total distance traveled, we simply add the distance covered in each segment of the journey:
Total distance = Distance 1 + Distance 2 + Distance 3
Total distance = $$10\text{ km} + 2\text{ km} + 5\text{ km}$$
Calculating the sum:
$$10 + 2 = 12$$
$$12 + 5 = 17$$
So, the total distance Harish travels is 17 km.
Let's summarize the travel segments and distances:
| Segment | Direction | Distance (km) |
|---|---|---|
| 1 | North | 10 |
| 2 | East (Turn Right from North) | 2 |
| 3 | East | 5 |
Adding these distances together gives the total distance traveled:
Total distance = $$10 + 2 + 5 = 17\text{ km}$$
Therefore, Harish travels a total of 17 km to reach Farhan's home.
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