Question

Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry, the Cat, travels at 37 miles per hour. The second ferry, the Bird, travels at 27 miles per hour. In how many hours will the two ferries be 40 miles apart?

156

likes
781 views

Answer to a math question Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry, the Cat, travels at 37 miles per hour. The second ferry, the Bird, travels at 27 miles per hour. In how many hours will the two ferries be 40 miles apart?

Expert avatar
Neal
4.5
105 Answers
1. Let the time taken for the ferries to be 40 miles apart be t hours.
2. The distance traveled by the Cat in t hours is given by: d_1 = 37t.
3. The distance traveled by the Bird in t hours is given by: d_2 = 27t.
4. The difference in distances between the two ferries is 40 miles, so:
37t - 27t = 40.
5. Simplifying the equation: 10t = 40.
6. Solving for t:
t = \frac{40}{10} = 4 \text{ hours}.
7. So, the two ferries will be 40 miles apart after t = 4 \text{ hours}.

Answer: t = 4 \text{ hours}

Frequently asked questions (FAQs)
Question: In a right triangle, if one of the acute angles measures 30 degrees and the hypotenuse has a length of 5 units, what is the length of the side opposite the 30-degree angle?
+
What is the measure in degrees of an angle of 3π/4 radians?
+
Math Question: Convert the number 20,000,000,000 to scientific notation.
+
New questions in Mathematics
A particular employee arrives at work sometime between 8:00 a.m. and 8:40 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:40 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:30 a.m. Round your answer to four decimal places, if necessary.
what is 456456446+24566457
Supposed 60% of the register voters in a country or democrat. If a sample of 793 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 64% round your answer to four decimal places
The beta of a company is 1,41 and its cost of equity 18,95%. What is then the market risk premium if the risk free rate is 0,94%? (in %, 2 decimal places)
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
(-5/6)-(-5/4)
0.1x8.2
TEST 123123+123123
In measuring the internal radius of a circular sewer the measurement is 2% too large. If this measurement is then used to calculate the circular cross-sectional area of the pipe: Determine, by using the binomial theory, the percentage error that will occur compared to the true area.
nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north
A psychologist is investigating the levels of test anxiety in various university courses. Anxiety is measured on a scale ranging from 0 to 100, where 0 indicates the complete absence of anxiety and 100 represents an extreme level of anxiety. From the data obtained, it has been discovered that the psychology score is triple that of nursing, and in turn, the latter has a score 10 points lower than the nutrition major. Furthermore, the score in the veterinary degree is 15 points higher than that of nutrition. Finally, if we add the scores of all the races, we will obtain a total of 173 points. Pose the equation that represents the situation described in the previous problem and determine: What is the score that psychology obtained regarding its anxiety level before the exams?
On Tuesday Shanice bought five hats.On Wednesday half of all the hats that she had were destroyed.On Thursday there were only 17 left.How many Did she have on Monday.
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at 𝑥 = 1.
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.
calculate the product of 4 and 1/8
g(x)=3(x+8). What is the value of g(12)
x(squared) -8x=0
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?