A bicyclist bikes the 56 mi to a city averaging a certain speed. The return trip is made at a speed that is 6 mph slower. Total time for the round trip is 11 hr. Find the​ bicyclist's average speed on each part of the trip.

Answers

Answer 1
Answer:

Answer:

Speed of the bicyclist when going to city =  14 miles per hour.

Speed while return trip = 8 miles per hour.

Explanation:

Let the speed of the bicyclist when going to city = x miles per hour.

Speed while return trip =  x - 6 miles per hour.

Total time taken = 11 hrs = Time for the trip to city + time taken for return trip.

Also, Time = Distance / Time.

So,

56 / x + 56 / ( x -6) = 11

11x² -178x + 336 = 0

Solving for x we get:

Acceptable x = 14 miles per hour.

Speed while return trip =  x - 6 miles per hour = 8 miles per hour.

Answer 2
Answer:

Final answer:

To find the average speed on each part of the trip, use the formula Average speed = Total distance/Total time and set up an equation to solve for the unknown speeds.

Explanation:

To find the average speed on each part of the trip, we can use the formula Average speed = Total distance/Total time. Let's assume the average speed on the first part of the trip (56 miles) is x mph. Since the return trip is made at a speed that is 6 mph slower, the average speed on the second part of the trip is (x - 6) mph. We know that the total time for the round trip is 11 hours. So, we can set up the equation:

56/x + 56/(x - 6) = 11

Now, we can solve this equation to find the value of x, which represents the average speed on the first part of the trip. Once we have x, we can find the average speed on the second part of the trip by subtracting 6 from x.

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the maximum characteristic x-ray photon energy comes from the capture of a free electron into a k shell vacancy. what is this photon energy in kev for polonium assuming the free electron has no initial kinetic energy?

Answers

The photon energy is 75 keV (kilo-electron volts) for polonium, assuming the free electron has no initial kinetic energy.

The maximum characteristic x-ray photon energy from the capture of a free electron into a K-shell vacancy is equal to the difference in binding energies between the K-shell and L-shell in the atom.

For polonium (Po), the atomic number is 84, which means it has 84 electrons. The K-shell of polonium is filled with 2 electrons, and the L-shell is filled with 8 electrons.

The K-shell binding energy for polonium can be found in a table of atomic data to be around 88 keV. The L-shell binding energy can also be found in the same table to be around 13 keV.

Therefore, the maximum characteristic x-ray photon energy from the capture of a free electron into a K-shell vacancy in polonium is:

E = (K-shell binding energy) - (L-shell binding energy)

= 88 keV - 13 keV

= 75 keV

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Which type of force pulls objects toward one another

Answers

Gravity ALWAYS does that, and electrostatic force does it when two objects have opposite charges.
Gravitational force, magnetic force and electric force

Ryan left the science museum and drove south at 53 km/h. How far has he traveled after 8 minutes

Answers

Answer:

7 km

Explanation:

53 km in 1 hour/ 60 minutes. .89 km a minute.

Which describes how the same force affects a small mass and a large massA.The large mass accelerates faster
B.The small mass accelerates faster
C.Both accelerate at the same time

Answers

The same force accelerates a small mass faster than
it accelerates a large mass.

It's easier to get a little red wagon going by pushing it
than it is to get a school bus going by pushing it.

An alarm clock draws 0.5 A of current when connected to a 120 volt circuit. Calculate its resistance.

Answers

We need to calculate the resistance of a clock which draws current I=0.5A and is connected to a circuit of V=120V. We can find the resistance of a circuit from Ohm's law: I=U/R where I is the current, U is the voltage and R is the resistance. So lets manipulate Ohm's law to find the resistance: R=U/I. Now we input our numbers: R=120V/0.5A and we get R=240 Ohm. So the resistance is R=240 Ohm.

Given the amount of voltage and the amount of current drawn by the alarm clock, its resistance is 240 ohms.

What is Ohm’s law?

Ohm’s law states that "the potential difference between two points is directly proportional to the current flowing through the resistance.

It is expressed as;

V = I × R

Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.

Given the data in the question;

  • Voltage V = 120V
  • Current I = 0.5A
  • Resistance R = ?

We substitute our given values into the expression above.

V = I × R

120V = 0.5A × R

R = 120V / 0.5A

R = 240Ω

Therefore, given the amount of voltage and the amount of current drawn by the alarm clock, its resistance is 240 ohms.

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There is little sunlight at high latitudes during the winter, so few crops can grow even if temperatures are regulated. To address this problem, special lamps can be used in greenhouses.These lamps allow plants to grow during the winter months. Scientific knowledge of which topic was necessary to solve this problem?

Answers

Answer;

the colors of light that plants require for photosynthesis

Explanation;

The color of light used for photosynthesis depends on the pigment in the plant. For example, green plants with chlorophylls and carotenoids have a maximum activity with violet-blue and red light.

White light contains various colors, including red, orange, yellow, green, blue, indigo and violet. When plants harvest light for photosynthesis, they only absorb a few colors and reflect the rest. Plants appear green because chlorophyll absorbs other colors and reflects green.

Answer:

the colors of the light that plants require for photosynthesis

Explanation:

pretty sure im right