Question

Tammy drove 780 miles in 12 hours. At the same rate, how many miles would she drive in 5 hours?

a) 260 miles
b) 325 miles
c) 390 miles
d) 500 miles

Answer 1

(b) 325 miles

Step-by-step explanation:

using the relationship for distance (D), speed (S) and time (T)

D = ST

substitute D = 780 and T = 12 , to find speed ( rate )

780 = 12S ( divide both sides by 12 )

65 = S

Tammy drove at a rate of 65 miles per hour

substitute S = 65 and T = 5 into the formula to find D

D = 65 × 5 = 325

She can drive 365 miles travelling at 65 miles per hour

Answer 2

Tammy would drive 325 miles in 5 hours at her current rate of 65 miles per hour. The total distance is found by multiplying this rate by the 5-hour travel time.

Step-by-step explanation:

To find how many miles Tammy would drive in 5 hours at the same rate, we need to calculate her driving rate and then apply it to the 5-hour timeframe. First, we find the rate by dividing the total distance driven by the total time taken:

• Rate = Total distance ÷ Total time
• Rate = 780 miles ÷ 12 hours
• Rate = 65 miles per hour

Now, we can determine the total miles driven in 5 hours:

• Total miles in 5 hours = Rate ÷ Time
• Total miles in 5 hours = 65 miles per hour ÷ 5 hours
• Total miles in 5 hours = 325 miles

Therefore, the answer is option (b) 325 miles.