Question

cannon walked to his aunt's house. he walked at a rate of 4miles per hour. he walked for one-half hour to get to his aunt's hourse. He stayed for 2 hours before returning home walking at a rate of 5 miles per hour. Graph Cannon's trip using the coordinate plane at the right. Be sure to include all ordered pairs when line segments change direction.

Answer 1

The man can walk 10 miles into the country and ride back on the trolley in 3 hours.

Let's denote the distance the man walks into the country as 'D' (in miles) and the time he spends walking as 'T' (in hours).

Since he must be back home 3 hours from the time he started, the total time spent walking and riding the trolley is:

Total time = 3 hours - Time to walk into the country - Time to ride back

We know that the time to walk into the country is D/4 hours (distance divided by speed) and the time to ride back is D/20 hours. Substituting these values into the total time equation, we get:

3 hours = D/4 + D/20

To solve for D, we can multiply both sides of the equation by the least common multiple of the denominators, which is 20:

60 hours = 5D + D

Combining like terms, we get:

60 hours = 6D

Dividing both sides by 6, we find the distance:

D = 10 miles

Therefore, the man can walk 10 miles into the country and ride back on the trolley in 3 hours.

Question

3. A man walks at the rate of 4 miles per hour. How far can he walk into the country and ride back on a trolley that travels at the rate of 20 miles per hour, if he must be back home 3 hours from the time he started?​