Amy jogs 1/3 of a mile in 1/15 of an hour, while John takes 1/30 of an hour to jog 1/5 of a mile. If they continued at this rate who would jog farther in one hour and by how much?
Amy = 15/3 per hour
John = 30/5 per hour
john by one mile
To determine who would jog farther in one hour and by how much, we need to calculate the distances each person would cover in one hour based on their respective rates.
Let's start with Amy. We know that Amy jogs 1/3 of a mile in 1/15 of an hour. To find out how far she would jog in one hour, we can set up a proportion:
(1/3 mile) / (1/15 hour) = x mile / 1 hour.
Now, we can cross-multiply to solve for x:
x = (1/3 mile) * (1 hour) / (1/15 hour)
x = (1 * 15) / (3 * 1/3) mile
x = 15 / 1
x = 15 miles
So Amy would jog 15 miles in one hour.
Now let's calculate the distance John would jog in one hour. We know that John takes 1/30 of an hour to jog 1/5 of a mile. Again, we set up a proportion:
(1/5 mile) / (1/30 hour) = x mile / 1 hour.
Cross-multiplying, we get:
x = (1/5 mile) * (1 hour) / (1/30 hour)
x = (1 * 30) / (5 * 1/5) mile
x = 30 / 1
x = 30 miles
Therefore, John would jog 30 miles in one hour.
To determine who would jog farther in one hour and by how much, we compare the distances covered. John would jog farther by (30 - 15) miles, which is 15 miles. So John would jog 15 miles farther than Amy in one hour.