A taxi driver charges a fixed fee of ₹800 per day plus ₹20 for each…

Question 11 of 19intermediate🔧 ApplyNumerical3 marks

A taxi driver charges a fixed fee of ₹800 per day plus ₹20 for each kilometer traveled. If the total cost for a taxi ride is ₹2200, determine the number of kilometres traveled.

Correct Answer

Given: Fixed fee = ₹800 Rate = ₹20 per km Total cost = ₹2200

Step 1: Let $k$ = kilometers traveled.

Step 2: Total cost = $800 + 20k$ .

Step 3: Set up equation: $800 + 20k = 2200$ .

Step 4: Subtract 800: $20k = 1400$ .

Step 5: Divide by 20: $k = 70$ km.

Verification: Total cost = ₹800 + ₹ $20 \times 70$ = ₹800 + ₹1400 = ₹2200.

Answer: ∴ The number of kilometers traveled is 70 km.

Exercise: Figure it Out (Section 3) | Q: 6 | (Page Page 23)

For More Understanding

Explanation

Let $k$ be the number of kilometers. The total cost is fixed fee plus per-km charge: $800 + 20k = 2200$ . Solving: $20k = 1400$ , $k = 70$ .

Solution Steps

Step 1: Let $k$ = kilometers traveled
Step 2: Total cost = $800 + 20k$
Step 3: Set up equation: $800 + 20k = 2200$
Step 4: Subtract 800: $20k = 1400$
Step 5: Divide by 20: $k = 70$ km

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