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A man on tour travels first 160 km at 64...

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 64 `"km"//"hr"`. The average speed for 320 km of the tour is:

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To find the average speed of the man on his tour, we can follow these steps: ### Step 1: Identify the distances and speeds The man travels two segments of the journey: - First segment: 160 km at a speed of 64 km/hr - Second segment: 160 km at a speed of 64 km/hr ### Step 2: Calculate the total distance The total distance traveled is: \[ \text{Total Distance} = 160 \text{ km} + 160 \text{ km} = 320 \text{ km} \] ### Step 3: Calculate the time taken for each segment Using the formula for time, which is: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] **For the first segment:** \[ \text{Time}_1 = \frac{160 \text{ km}}{64 \text{ km/hr}} = 2.5 \text{ hours} \] **For the second segment:** \[ \text{Time}_2 = \frac{160 \text{ km}}{64 \text{ km/hr}} = 2.5 \text{ hours} \] ### Step 4: Calculate the total time taken The total time taken for the journey is: \[ \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 2.5 \text{ hours} + 2.5 \text{ hours} = 5 \text{ hours} \] ### Step 5: Calculate the average speed The average speed is given by the formula: \[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \] Substituting the values we found: \[ \text{Average Speed} = \frac{320 \text{ km}}{5 \text{ hours}} = 64 \text{ km/hr} \] ### Final Answer The average speed for the 320 km tour is: \[ \text{Average Speed} = 64 \text{ km/hr} \] ---
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MAHENDRA-SPEED, TIME AND DISTANCE-EXERCISE
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  15. A boy goes to his school from his house at a speed of 3 "km"//"hr" and...

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  16. The average speed of a train in the onward journey is 25 % more than t...

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  19. A boy rides his bicycle 10 km at an average speed of 12 "km"//"hr" and...

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