$MathMaster logo$

MathMaster

Home
general
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?

$Expert avatar$

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 factored form of 4x^2 + 12x + 8 using the distributive property?

+

Math Question: If log(a) = 3 and log(b) = -2, find log(ab) using logarithmic properties.

+

What is the value of f(x) = √(x-3) for x = 10?

+

New questions in Mathematics

If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.

The strength of Kefexin oral suspension is 100 mg/ml. Nora has been prescribed cefalexin at a dose of 50 mg/kg/day divided in two single doses. Nora weighs 14 kg. How many milliliters of solution for Nora should be given as a single dose?

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?

Write 32/25 as a percent

2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?

A company is wondering whether to invest £18,000 in a project which would make extra profits of £10,009 in the first year, £8,000 in the second year and £6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places

Divide 22 by 5 solve it by array and an area model

Convert 78 percent to a decimal

Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?

A car travels 211 miles on 15 gallons of gasoline. The best estimate of the car’s miles per gallon is?

A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?

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 ?

g(x)=3(x+8). What is the value of g(12)

A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.