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

.

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

95t

miles.

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

115t

miles.

Since the two trains are traveling towards each other, the total distance they cover in time

is the sum of the distances each train covers:

95t + 115t = 294

Combining like terms, we have:

210t = 294

To solve for

, 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 value of f(3) if f(x) = 2x^2 + 5x - 1?

Math question: Determine the period, amplitude, and asymptotes of the function f(x) = cot(x).

What is the value of f(x) = √(x+4) when x = 9?

New questions in Mathematics

A college believes that 22% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points?

What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?

Write 32/25 as a percent

STUDENTS IN A CLASS LEARN ONLY ONE FOREIGN LANGUAGE. two-sevenths of the students learn German, half of the students learn Spanish, and the remaining six students learn Italian. what is the number of students in this class? detail your reasoning carefully.

B - (-4)=10

the probabilty that a person has a motorcycle, given that she owns a car 25%. the percentage of people owing a motorcycle is 15% and that who own a car is 35%. find probabilty that a person owns any one or both of those

By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.

If 0101, what is the binary representation of the 4x16 decoder output?

4x + 8y = 5 2x + 4y = 10

The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis

Use the power rule for logarithms to solve the following word problem exactly. If you invest $1, 000 at 5% interest compounded annually, how many years will it take before you have $2,000?

Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3

Professor Vélez has withdrawn 40 monthly payments of $3,275 from her investment account. If the investment account yields 4% convertible monthly, how much did you have in your investment account one month before making the first withdrawal? (Since you started making withdrawals you have not made any deposits.)

A person runs 175 yards per minute write a variable that represents the relationship between time and distance

What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?

Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.

If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13

P 13. Let P a point inside of a square ABCD. Show that the perpendicular lines drawn from A, B, C, respectively D, to BP, CP, DP, respectively AP are concurrent. Use geometric rotation.

To verify that a 1 kg gold bar is actually made of pure gold, a dynamometer is used to record the weight of the bar submerged in water and out of water. a) What would be the value of the weight of the ingot recorded by the dynamometer out of the water? b) What magnitude of thrust does the ingot receive when it is submerged? c) What would the weight of the ingot have to be when it is submerged? Data Pagua = 1000 kg/m³ Pagua= 19300 kg/m³

How many digits are there in Hindu-Arabic form of numeral 26 × 1011

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?

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?

You might be interested in