QUESTION 11 bookmark_border Select the correct answer The front wheels of a toy truck are 40 inches in circumference. The back wheels are 70 inches in circumference. If the truck travels in a straight line without slippage, how many inches will the truck have travelled when the front wheels have made 15 revolutions more than the back wheels? radio_button_unchecked 1000 radio_button_unchecked 1200 radio_button_unchecked 1400 radio_button_unchecked 1600

Step 1: Understand the problem. The problem is asking how far the truck will have traveled when the front wheels have made 15 more revolutions than the back wheels.

Step 2: Determine the distance traveled per revolution for each set of wheels. The distance traveled in one revolution is equal to the circumference of the wheel. So, the front wheels travel 40 inches per revolution and the back wheels travel 70 inches per revolution.

Step 3: Set up an equation to solve the problem. Let's denote the number of revolutions of the back wheels as x. Then, the number of revolutions of the front wheels is x + 15. The total distance traveled by the truck is the same whether we consider the front wheels or the back wheels, so we can set up the following equation:

40 * (x + 15) = 70 * x

Step 4: Solve the equation. First, distribute the 40 on the left side of the equation:

40x + 600 = 70x

Then, subtract 40x from both sides to get:

600 = 30x

Finally, divide both sides by 30 to solve for x:

x = 20

Step 5: Substitute x = 20 back into the equation for the distance traveled by the front wheels to find the total distance traveled by the truck:

40 * (20 + 15) = 40 * 35 = 1400 inches

So, the truck will have traveled 1400 inches when the front wheels have made 15 more revolutions than the back wheels. Therefore, the correct answer is 1400.