A train travels 70 feet in 1/10 second. At this same speed, how many feet will it travel in 3 1/2 seconds?
A train travels 70 feet in in second 1/10. At this same speed, how many feet will it travel in 31 seconds? *
Well, let's do some math, but with a twist!
If the train travels 70 feet in 1/10 second, then we can say it travels at a whopping speed of 70 feet per 1/10 second. Now, let's convert that to something a little more standard.
Since there are 10 "1/10 seconds" in a second, we can multiply both the numerator and the denominator of the fraction by 10. That gives us 70 feet per 1 second. Still with me?
Now, we know that the train is traveling at a consistent speed, so we can just multiply the speed by the time to find out how far it goes. In this case, we want to find how far it goes in 3 1/2 seconds.
Let's first convert 3 1/2 seconds to a decimal. 1/2 second is 0.5 seconds, so 3 1/2 seconds equals 3.5 seconds.
Now, we multiply the speed (70 feet per 1 second) by the time (3.5 seconds). Doing this calculation, we get 70 feet per second × 3.5 seconds = 245 feet.
So, at this same speed, the train will travel approximately 245 feet in 3 1/2 seconds.
And if you're wondering, no, the train doesn't have a ticket to the circus. It's just really good at locomotion!
To find out how far the train will travel in 3 1/2 seconds at the same speed, we can use the information given about the train's speed in feet per second.
Since the train travels 70 feet in 1/10 second, we can calculate its speed as follows:
Speed = Distance / Time
Speed = 70 feet / (1/10 second)
To simplify the calculation, we can convert 1/10 second into a fraction with a common denominator:
Speed = 70 feet / (1/10 second)
Speed = 70 feet / (1/10) * (10/10) [Multiply numerator and denominator by 10]
Speed = 70 feet / (1/10) * 10
Speed = 70 feet / (1/10) * 10/1 [Multiply numerator by reciprocal of denominator]
Speed = 70 feet * 10/1 * (10/1)
Speed = 70 feet * 100/1
Speed = 7,000 feet per second
Now, we can determine the distance the train will travel in 3 1/2 seconds by multiplying its speed by the time:
Distance = Speed * Time
Distance = 7,000 feet/second * 3 1/2 seconds
1/2 second can be converted to 0.5 seconds:
Distance = 7,000 feet/second * 3.5 seconds
Distance = 24,500 feet
Therefore, at the same speed, the train will travel 24,500 feet in 3 1/2 seconds.
To find out how many feet the train will travel in 3 1/2 seconds at the same speed as before, we need to use a proportion.
First, let's determine the speed of the train in feet per second. We know that the train travels 70 feet in 1/10 second. We can find its speed by dividing the distance traveled by the time taken:
Speed = Distance / Time
Speed = 70 feet / (1/10 second)
Speed = 70 feet * (10/1 second)
Speed = 700 feet per second
Now that we know the speed of the train, we can use this information to calculate the distance it will travel in 3 1/2 seconds.
Distance = Speed * Time
Distance = 700 feet per second * 3 1/2 seconds
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and then divide by the denominator:
Distance = 700 feet per second * 7/2 seconds
Distance = 3500 feet / 2 seconds
Distance = 1750 feet
Therefore, the train will travel 1750 feet in 3 1/2 seconds at the same speed as before.
0.1/70 = 3.5/x
245 = 0.1x
2,450 feet = x