For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 450 miles in 6 hours, how many miles does it travel in 5 hours?
Question
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 450 miles in 6 hours, how many miles does it travel in 5 hours?
Solution
Step 1: Understand the problem. The problem states that the car is moving at a constant speed. This means that the distance it travels is directly proportional to the time it spends driving.
Step 2: Identify the known values. The car travels 450 miles in 6 hours.
Step 3: Set up a proportion to find the unknown value. The proportion is (distance for 6 hours)/(time for 6 hours) = (distance for 5 hours)/(time for 5 hours).
Step 4: Substitute the known values into the proportion. So, 450 miles/6 hours = x miles/5 hours.
Step 5: Solve for x. Cross multiply to get 6x = 450 * 5. Then divide both sides by 6 to solve for x.
Step 6: Calculate the value of x. x = (450 * 5) / 6 = 375 miles.
So, the car would travel 375 miles in 5 hours.
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