A train went 210 miles further than a bus. The train went four times further than the bus. how far did each vehicle travel?
Let's assume the distance traveled by the bus is "x" miles.
According to the problem, the train went 210 miles further than the bus, so the distance traveled by the train is "x + 210" miles.
It is also mentioned that the train went four times further than the bus, so we can write the equation as:
x + 210 = 4x
To solve for x, we'll subtract x from both sides:
210 = 3x
Next, we'll divide both sides by 3 to isolate x:
x = 70
Therefore, the distance traveled by the bus is 70 miles, and the distance traveled by the train is 70 + 210 = 280 miles.
To find out how far each vehicle traveled, we can set up a system of equations based on the given information.
Let's assume the distance traveled by the bus is represented by 'x' miles.
According to the problem, the train went 210 miles further than the bus, so the distance traveled by the train is 'x + 210' miles.
It is also stated that the train went four times further than the bus, which means the distance traveled by the train is four times the distance traveled by the bus: 'x + 210 = 4x'.
Now we can solve this equation to find the value of 'x'.
x + 210 = 4x
Subtracting 'x' from both sides: 210 = 3x
Dividing both sides by 3: x = 70
Therefore, the distance traveled by the bus is 70 miles and the distance traveled by the train is '70 + 210 = 280 miles'.
T = 4B
T = B + 210
Substitute 4B for T in the second equation and solve for B. Insert that value into the first equation to solve for T. Check by putting both values into the second equation.