Madison leaves her house and bikes north at a

Question

Madison leaves her house and bikes north at a

constant speed of 10 miles per hour. If her dad
leaves the same house two hours later, driving
north at a constant speed of 15 miles per hour, how
long will it take him, in hours, to reach Madison?

Answer 1

d1 = V1 * (2+ t) = Distance Madison traveled.

d2 = V2 * t = Distance dad traveled.
When dad catches up, his distance will be equal to Madison's distance:

d1 = d2.
V1(2+t) = V2*t.
10(2+t) = 15t,
t = ?.

Answer 2

distanceMad=10*time

distanceDad=15(time-2)
set them equal, solve for time (the time Madison biked). His time is two hours less than that.

Answer 3

To find out how long it will take Madison's dad to reach her, we need to calculate the time it takes for Madison to cover a certain distance and then subtract the time delay.

Madison's speed is 10 miles per hour, and her dad's speed is 15 miles per hour.

Let's assume that Madison's dad takes x hours to reach Madison.

Since Madison has a head start of 2 hours, she would have covered a distance of 10 * 2 = 20 miles before her dad starts.

So, when Madison's dad begins, both Madison and her dad would have traveled the same distance.

Now, let's express the distance covered by Madison's dad using his speed and time taken:

Distance = Speed * Time
Distance = 15 * x

Since the distances covered by Madison and her dad are equal, we can equate the two expressions:

20 = 15 * x

Now, solve for x:

x = 20 / 15
x = 4/3

Therefore, it will take Madison's dad 4/3 hours to reach her. This can also be expressed as 1 hour and 20 minutes.

Answer 4

To answer this question, we need to determine the distance that Madison travels in two hours.

Since Madison bikes north at a constant speed of 10 miles per hour, in two hours she will have traveled a distance of 10 * 2 = 20 miles.

Now, let's determine the time it will take for Madison's dad to reach Madison. We can use the formula:

Time = Distance / Speed

The distance is the same for both Madison and her dad, which is 20 miles. However, her dad's speed is 15 miles per hour. Plugging these values into the formula, we get:

Time = 20 miles / 15 miles per hour

Simplifying, we find:

Time = 4/3 hour

Therefore, it will take Madison's dad 4/3 hour to reach Madison.