A person walks at 4 km/h and runs at 10 km/h. If he walks for 30 minutes and the

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Question: A person walks at 4 km/h and runs at 10 km/h. If he walks for 30 minutes and then runs for 30 minutes, what is his average speed?

Options:

Correct Answer: 7 km/h

Solution:

Total distance = (4 × 0.5) + (10 × 0.5) = 2 + 5 = 7 km. Total time = 1 hour. Average speed = 7 km/h.

A person walks at 4 km/h and runs at 10 km/h. If he walks for 30 minutes and then runs for 30 minutes, what is his average speed?

A person walks at 4 km/h and runs at 10 km/h. If he walks for 30 minutes and then runs for 30 minutes, what is his average speed?

Step 1: Convert the walking time from minutes to hours. 30 minutes is equal to 0.5 hours.
Step 2: Calculate the distance walked. Use the formula: distance = speed × time. The speed is 4 km/h, so distance = 4 km/h × 0.5 hours = 2 km.
Step 3: Convert the running time from minutes to hours. 30 minutes is also equal to 0.5 hours.
Step 4: Calculate the distance run. The speed is 10 km/h, so distance = 10 km/h × 0.5 hours = 5 km.
Step 5: Add the distances from walking and running to find the total distance. Total distance = 2 km + 5 km = 7 km.
Step 6: Calculate the total time spent walking and running. Total time = 0.5 hours + 0.5 hours = 1 hour.
Step 7: Calculate the average speed using the formula: average speed = total distance / total time. Average speed = 7 km / 1 hour = 7 km/h.

Average Speed Calculation – The average speed is calculated by dividing the total distance traveled by the total time taken.
Distance and Time Relationship – Understanding how to convert time into hours and apply it to speed to find distance.