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I live in a village Pali and I want to visit my therapy clients living in nearby villages Neli, Teli and Seli. All villages are connected by two-way routes. The length of the route from Pali to Neli is 31 km, from Teli to Pali is 20 km, from Seli to Pali is 22 km, from Neli to Teli is 16 km, from Teli to Seli 18 km, and from Seli to Neli is 26 km long. Select. the minimum distance, in km, that I require to cover to visit my clients and return to Pali.
  • a)
    84
  • b)
    95
  • c)
    97
  • d)
    83
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
I live in a village Pali and I want to visit my therapy clients living...
There are six possibilities to visit clients and return to pali.
(1) Pali - Neli - Seli - Teli - Pali
Distance = 31 Km + 26 Km + 18 Km + 20 Km = 95 Km
(2) Pali - Neli - Teli - Seli - Pali
Distance = 31 Km + 16 Km + 18 Km + 22 Km = 87 Km
(3) Pali - Teli - Neli - Seli - Pali
Distance = 20 Km + 16 Km + 26 Km + 22 Km = 84 Km
(4) Pali - Teli - Seli - Neli - Pali
Distance = 20 Km + 18 Km + 26 Km + 31 Km = 95 Km
(5) Pali - Seli - Neli - Teli - Pali
Distance = 22 Km + 26 Km + 16 Km + 20 Km = 84 Km
(6) Pali - Seli - Teli - Neli - Pali
Distance = 22 Km + 18 Km + 16 Km + 31 Km = 87 Km
So, the minimum distance to visit clients and return to pali is 84 Km.
Hence, the correct answer is option(a) i.e., 84 Km.
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Community Answer
I live in a village Pali and I want to visit my therapy clients living...
To determine the minimum distance required to visit all therapy clients and return to Pali, we need to analyze the given routes between the villages.

Given Information:
- Pali to Neli: 31 km
- Teli to Pali: 20 km
- Seli to Pali: 22 km
- Neli to Teli: 16 km
- Teli to Seli: 18 km
- Seli to Neli: 26 km

Step 1: Plotting the Villages
We can start by plotting the villages on a map to get a visual representation of their locations. This will help us understand the distances and routes better.

Step 2: Analyzing the Routes
To find the minimum distance, we need to identify the most efficient route that covers all the villages and returns to Pali.

Option 1: Pali - Neli - Teli - Seli - Pali
- Pali to Neli: 31 km
- Neli to Teli: 16 km
- Teli to Seli: 18 km
- Seli to Pali: 22 km

Total distance: 31 + 16 + 18 + 22 = 87 km

Option 2: Pali - Seli - Neli - Teli - Pali
- Pali to Seli: 22 km
- Seli to Neli: 26 km
- Neli to Teli: 16 km
- Teli to Pali: 20 km

Total distance: 22 + 26 + 16 + 20 = 84 km

Step 3: Finding the Minimum Distance
Comparing the two options, we can see that Option 2 (Pali - Seli - Neli - Teli - Pali) has the minimum distance of 84 km.

Therefore, the correct answer is option 'A' (84 km).
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