You walk at 4 miles per hour for 1/2 hour, and then jog at 6 miles per hour for h hours. The total distance that you cover both walking and jogging is 6 miles. Write an equation that represents this situation.
4*0.5 + 6h = 6.
To write an equation that represents this situation, let's break down the information given:
1. Walking: You walk at a speed of 4 miles per hour for 1/2 hour. This means you cover a distance of (4 miles/hour) * (1/2 hour) = 2 miles.
2. Jogging: You jog at a speed of 6 miles per hour for h hours. This means you cover a distance of (6 miles/hour) * h hours = 6h miles.
3. Total distance: The total distance you cover both walking and jogging is 6 miles.
Putting this information together, the equation that represents this situation is:
2 + 6h = 6
Explanation:
The left side of the equation represents the distance you cover walking (2 miles) plus the distance you cover jogging (6h miles). The right side of the equation represents the total distance you cover (6 miles). By setting the two sides equal to each other (2 + 6h = 6), we are stating that the sum of the distances covered walking and jogging is equal to the total distance of 6 miles.