Verified Answer :

First find out how many miles per hour. 310/5= 62. Divide that number by 60 (60 minutes in an hour). 62/60= 1.033333. Terry drives 1.033333 miles per minute. Multiply 1.033333 times 403 to see how many minutes he drove. 1.033333*403=416.433333. It took Terry 416 minutes or 6 hours and 56 minutes. :)

Answer:

The time taken to drive 403 miles at the same speed is 6.5 hours.

Explanation:

Given : Terry drove 310 miles in 5 hours at a constant speed.

To find : How long would it take him to drive 403 miles at the same speed?

Solution :

The formula of speed is given by,

\(\text{Speed}=\frac{\text{Distance}}{\text{Time}}\)

Distance is 310 miles.

Time is 5 hours.

\(\text{Speed}=\frac{310}{5}\)

\(\text{Speed}=62\ miles/hr\)

As he drive 403 miles at the same speed.

So, Distance = 403 miles and Speed is 62 miles per hour.

The required time taken is

\(\text{Time}=\frac{\text{Distance}}{\text{Speed}}\)

\(\text{Time}=\frac{403}{62}\)

\(\text{Time}=6.5\)

Therefore, the time taken to drive 403 miles at the same speed is 6.5 hours.