Lana`s toy boat can sail 7 1/2 yards in 4 1/6 minutes. How far would it sail in 8 3/4 minutes if it kept the same pace?
So what`s the equation
7.5 / 4.1667 = x / 8.75
What does x/8.75 mean?
Please carefully study this site about proportions.
http://www.mathsisfun.com/algebra/proportions.html
To find out how far Lana's toy boat would sail in 8 3/4 minutes if it kept the same pace, we can use the concept of proportionality.
First, let's calculate the boat's speed in yards per minute:
To find the speed, we divide the distance by the time it takes. The boat sails 7 1/2 yards in 4 1/6 minutes.
Convert the mixed number into an improper fraction:
4 1/6 = (4 * 6 + 1) / 6 = 25/6
Now, we can find the speed:
Speed = distance / time
Speed = 7 1/2 yards ÷ 25/6 minutes
To divide by a fraction, we can invert and multiply:
Speed = 7 1/2 yards * 6/25 minutes
Speed = (15/2) yards * (6/25) minutes
Speed = 90/2 yards * minutes/25
Speed = 45 yards/minutes
Now that we know the boat's speed is 45 yards per minute, we can find out how far it would sail in 8 3/4 minutes.
Distance = speed × time
Distance = 45 yards/minute × 8 3/4 minutes
Convert the mixed number into an improper fraction:
8 3/4 = (8 * 4 + 3) / 4 = 35/4
Now, calculate the distance:
Distance = 45 yards/minute × 35/4 minutes
To multiply fractions, multiply the numerators and denominators together:
Distance = (45 × 35) / (1 × 4) yards
Distance = 1575/4 yards
The toy boat would sail 1575/4 yards in 8 3/4 minutes if it kept the same pace.
If we simplify the result:
Distance = 393 3/4 yards
So, the toy boat would sail approximately 393 3/4 yards in 8 3/4 minutes if it kept the same pace.