MathMaster logo

MathMaster

  1. Home
  2. general
  3. two trains leave stations 294 miles apart at the same time and travel toward each other one train travels at 95 miles per
Question

Two trains leave stations 294 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hourHow long will it take for the two trains to meet?

138

likes
690 views

Answer to a math question Two trains leave stations 294 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hourHow long will it take for the two trains to meet?

Expert avatar
Santino
4.5
112 Answers
To find out how long it will take for the two trains to meet, we can use the formula:

\text{Time} = \frac{\text{Distance}}{\text{Speed}}

Let's denote the time it takes for the two trains to meet as t .

The first train travels at a speed of 95 miles per hour, so the distance it covers in time t is 95t miles.

Similarly, the second train travels at a speed of 115 miles per hour, so the distance it covers in time t is 115t miles.

Since the two trains are traveling towards each other, the total distance they cover in time t is the sum of the distances each train covers:

95t + 115t = 294

Combining like terms, we have:

210t = 294

To solve for t , we divide both sides of the equation by 210:

t = \frac{294}{210}

Reducing the fraction gives:

t = \frac{14}{10}

We can simplify this further by dividing both the numerator and denominator by 2:

t = \frac{7}{5}

Therefore, it will take the two trains \frac{7}{5} hours or 1 hour and 24 minutes to meet.

Answer: \frac{7}{5} hours or 1 hour and 24 minutes.

Frequently asked questions (FAQs)
What is the length of the side opposite a 40Β° angle if the adjacent side is 5 and the hypotenuse is 8?
+
Question: What is the absolute value of the complex number (2 + 3i)?
+
What is the 4th derivative of the function f(x) = sin(x^2)?
+
New questions in Mathematics
Eight acts are scheduled to perform in a variety show how many different ways are there to schedule their appearances show your work
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
(-5/6)-(-5/4)
7/6-(-1/9)
Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
78 percent to a decimal
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. b) What is the profit value made by the hotel for one
using the math and science known about the jefferson river bridge Find a truss in use and develop a load diagram. Use a load of 50 lb on each joint along the bottom of the truss for a truss that actrs as a bridge and along the top joints for a truss that acts as a roof
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)
Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?
(X+2)(x+3)=4x+18
A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above
-5x=115
A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"
there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can (reproduce). Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?
9n + 7(-8 + 4k) use k=2 and n=3
Consider a sample space S, and two events A and B such that P(A ∩ B) = 0.2, P(A βˆͺ B) = 0.6, P(B βˆͺ Μ„A) = 0.8 (a) [0.5 points] Calculate P (A). (b) [0.5 points] Calculation P (B)
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.

You might be interested in