Question

Ilya and Anya each can run at a speed of 7.50 mph and walk at a speed of 3.40 mph. They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half. Submit Part D Now find llya's average speed Express llya's average speed Save, Ilya numerically, in miles per hour. ​

Answer 1

Ilya and anya each can run at a speed of 8.30mph and walk at a speed of 3.90mph . They set off together on a route of length 5.00miles . Anya walks half of the distance and runs the other half, while ilya walks half of the time ... ... Ilya to cover the distance? Express the time tIlya taken by Ilya numerically, in minutes.

Step-by-step explanation:

there ya go

Answer 2

Based on the given information on Anya and IIya, Ilya's average speed is approximately 4.68 mph.

How to calculate average speed

To find Ilya's average speed, determine the total time taken by Ilya to complete the 5.00-mile route and then calculate the average speed.

Given:

Ilya's running speed = 7.50 mph

Ilya's walking speed = 3.40 mph

Distance of the route = 5.00 miles

Anya walks half of the distance, which is 5.00 miles / 2 = 2.50 miles.

Since Ilya walks half of the time, he also walks 2.50 miles.

Now let's calculate the time taken by Ilya to walk and run each half of the distance:

Time taken to walk 2.50 miles = Distance / Speed = 2.50 miles / 3.40 mph

Time taken to run 2.50 miles = Distance / Speed = 2.50 miles / 7.50 mph

Next, calculate the total time taken by Ilya:

Total time taken by Ilya = Time taken to walk + Time taken to run

Now, calculate Ilya's average speed:

Average speed = Total distance / Total time taken

Total distance = 5.00 miles

Total time taken = Time taken to walk + Time taken to run

Substituting the values, we have:

Average speed = 5.00 miles / (Time taken to walk + Time taken to run)

Now calculate the time taken to walk and run:

Time taken to walk = 2.50 miles / 3.40 mph

Time taken to run = 2.50 miles / 7.50 mph

Substitute the values, we have:

Average speed = 5.00 miles / (2.50 miles / 3.40 mph + 2.50 miles / 7.50 mph)

Simplify the expression:

Average speed = 5.00 miles / (0.735 mph + 0.333 mph)

Average speed = 5.00 miles / 1.068 mph

Therefore, Ilya's average speed is approximately 4.68 mph.