A truck has traveled 75 miles in 1.5 hours of driving. At the same speed,which proportion can be used to determine how long,T (in hours),it would take the truck to travel 325 miles?
75/1.5 = 325/T
75/325=1.5/T
To determine the proportion that can be used to find how long it would take the truck to travel 325 miles at the same speed, we need to set up a ratio between the distance traveled and the time taken, assuming the speed remains constant.
The ratio we can use is:
Distance 1 / Time 1 = Distance 2 / Time 2
Let's assign variables to the given information:
Distance 1 = 75 miles
Time 1 = 1.5 hours
Distance 2 = 325 miles
Time 2 = T (we want to find this)
Now, we can plug in the values and set up the proportion:
75 miles / 1.5 hours = 325 miles / T
To solve for T, we cross multiply the equation:
75 miles * T = 1.5 hours * 325 miles
Simplifying this equation:
75T = 487.5
Next, we can isolate T by dividing both sides of the equation by 75:
T = 487.5 / 75
Calculating this division:
T = 6.5
Therefore, it would take the truck approximately 6.5 hours to travel 325 miles at the same speed.