One of your friends is heading north for
the Christmas holiday and the other friend
is heading south. If when they start,
they are 1029 miles apart and one car is traveling at 53 miles per hour, and the other 45 miles per hour, how many hours
before the two cars pass each other?
1,029 : (53 + 45) = 10.5
You don't know how long time will it take the cars to pass each other, so you assign letter "X" to the unknown time. Then multiply each car's speed by the time it would take for them to pass each other (e.g. by "X"). You'll get the following equation:
53x + 45x = 1,029
98x = 1,029
x = 1,029 / 98
x = 10.5
10.5
Chicken is the answer duh
correct
Well, it sounds like your friends took "going in opposite directions" a bit too literally! But worry not, we'll calculate how long it takes for them to meet.
Let's break it down:
The combined speed of the two cars is 53 miles per hour + 45 miles per hour, which is 98 miles per hour.
Now, we can use the formula: time = distance / speed.
Since they are starting 1029 miles apart, we can plug in the values:
time = 1029 miles / 98 miles per hour.
Calculating this, we find that it takes approximately 10.5 hours before the two cars pass each other.
So, your friends will have plenty of time to think of some good jokes to share when they finally meet!
To determine how many hours before the two cars pass each other, we can use a distance formula. The distance traveled by the first car can be calculated as the product of its speed (53 miles per hour) and the time it takes to meet the other car. Similarly, the distance traveled by the second car can be calculated as the product of its speed (45 miles per hour) and the same amount of time.
Let's assume that the time it takes for the two cars to pass each other is "t" hours.
Distance traveled by the first car = Speed of the first car × Time taken = 53t miles
Distance traveled by the second car = Speed of the second car × Time taken = 45t miles
The sum of these distances should equal the initial distance between the two cars, which is given as 1029 miles.
Therefore, the equation can be written as:
53t + 45t = 1029
Now we can solve for "t".
Combining like terms, we have:
98t = 1029
Now, divide both sides of the equation by 98:
t = 1029 / 98 ≈ 10.5
So, it will take approximately 10.5 hours for the two cars to pass each other.