if it took jeff 14 minutes to drive 10 1/2 mile how long will it take him to travel 23 miles?

14/10.5 = x/23

Cross multiply and solve for x.

10.5x = 322

x = 30.66666 = 30 2/3 minutes

14/10.5 = x/23

Cross multiply and solve for x.

10.5x = 322

x = 30.66666 = 30 2/3 minutes

To find out how long it will take Jeff to travel 23 miles, we can set up a proportion using the given information.

We know that Jeff took 14 minutes to drive 10 1/2 miles, so we can set up the following proportion:

14 minutes / 10 1/2 miles = x minutes / 23 miles

To solve for x (the unknown time), we can cross-multiply and then divide:

(14 minutes) * (23 miles) = (10 1/2 miles) * (x minutes)

322 minutes = 10 1/2 * x

Now, let's solve for x:

322 minutes = (21/2) * x

Divide both sides of the equation by 21/2:

322 minutes / (21/2) = x

To divide by a fraction, we can multiply by its reciprocal, so:

322 minutes * (2/21) = x

Now, let's calculate x:

x = 644/21

x ≈ 30.67 minutes

Therefore, it will take Jeff approximately 30.67 minutes to travel 23 miles.