Kalin walks at a steady rate of 3 2/3miles per hour. The beach is 4 1/4 miles from his home. How long will it take Kalin to walk from his home to the beach and back to his home?

4 2/44

2 7/22

2 hours

21 To find out how long it will take Kalin to walk to the beach and back, we need to calculate the total distance he will travel and then divide it by his walking speed.

First, let's find the one-way distance from his home to the beach. The distance is given as 4 1/4 miles. To add the mixed numbers, we need to convert them to improper fractions:

4 1/4 = (4 * 4 + 1) / 4 = 17/4

So, the one-way distance from home to the beach is 17/4 miles.

Now, let's calculate the total distance for the round trip. Since he needs to go to the beach and come back, we multiply the one-way distance by 2:

Total distance = (17/4) * 2 = 34/4 = 8 1/2 miles

Now, we know the total distance is 8 1/2 miles.

Kalin walks at a steady rate of 3 2/3 miles per hour. To add the mixed numbers, we convert them to improper fractions:

3 2/3 = (3 * 3 + 2) / 3 = 11/3

So, Kalin's walking speed is 11/3 miles per hour.

To find out how long it will take him, we divide the total distance by his walking speed:

Time = Total distance / Walking speed
Time = (8 1/2) / (11/3)

To divide fractions, we multiply by the reciprocal of the divisor:

Time = (8 1/2) * (3/11)
Time = 17/2 * 3/11

Multiply the numerators and denominators:

Time = (17 * 3) / (2 * 11)
Time = 51 / 22

Therefore, it will take Kalin approximately 51/22 hours to walk from his home to the beach and back.

(8 1/2) / (3 2/3)

(17/2) * (3/11) = 51/22 = 2 7/11 hours