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A motorist has travels to a place 150 km away at an average speed of 50 km per hour and returns at 30 km per hour. His average speed for whole journey in km per hour isOptions :353737.540

Question

A motorist has travels to a place 150 km away at an average speed of 50 km per hour and returns at 30 km per hour. His average speed for whole journey in km per hour isOptions :353737.540

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Solution 1

To solve this problem, we need to find the average speed for the whole journey. The formula for average speed is total distance divided by total time.

Step 1: Calculate the total distance The motorist travels 150 km to the place and 150 km back, so the total distance is 150 km + 150 km = 300 km.

Step 2: Calculate the total time The time taken to travel to the place is distance divided by speed, so it's 150 km / 50 km per hour = 3 hours. The time taken to travel back is 150 km / 30 km per hour = 5 hours. So, the total time is 3 hours + 5 hours = 8 hours.

Step 3: Calculate the average speed The average speed is total distance divided by total time, so it's 300 km / 8 hours = 37.5 km per hour.

So, the average speed for the whole journey is 37.5 km per hour.

This problem has been solved

Solution 2

To solve this problem, we need to find the average speed for the whole journey. The formula for average speed is total distance divided by total time.

Step 1: Calculate the total distance The motorist travels to a place 150 km away and returns, so the total distance is 150 km * 2 = 300 km.

Step 2: Calculate the total time The time taken to travel to the place is distance/speed = 150 km / 50 km per hour = 3 hours. The time taken to return is distance/speed = 150 km / 30 km per hour = 5 hours. So, the total time is 3 hours + 5 hours = 8 hours.

Step 3: Calculate the average speed The average speed is total distance / total time = 300 km / 8 hours = 37.5 km per hour.

So, the average speed for the whole journey is 37.5 km per hour. However, since the options only provide whole numbers, the closest answer would be 37 km per hour.

This problem has been solved

Solution 3

To solve this problem, we need to find the average speed for the whole journey. The formula for average speed is total distance divided by total time.

Step 1: Calculate the total distance The motorist travels 150 km to the place and 150 km back, so the total distance is 150 km + 150 km = 300 km.

Step 2: Calculate the total time The time taken to travel to the place is distance divided by speed, so it's 150 km / 50 km per hour = 3 hours. The time taken to travel back is 150 km / 30 km per hour = 5 hours. So, the total time is 3 hours + 5 hours = 8 hours.

Step 3: Calculate the average speed The average speed is total distance divided by total time, so it's 300 km / 8 hours = 37.5 km per hour.

So, the average speed for the whole journey is 37.5 km per hour.

This problem has been solved

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