1.A motorcycle has a reserved fuel of 0.5 liter which can be used if it's 3-liter fuel tank is about to be emptied. The motorcycle consumes at most 0.5 liter fuel for every 20 km of travel.
a. What mathematical statement represents the amount of fuel that would be left in the motorcycle's fuel tank after traveling a certain distance if it's tank is full at the start of travel?
b. Suppose the motorcycle's tank is full and it travels a distance of 55 km, about how much fuel would be left in the tank?
c. If the motorcycle travels a distance of 130 km with its tank full, would the amount of fuel in its tank be enough to cover the given distance? Explain why?
2. A bus and a car left a place at the same time traveling in opposite direction. After 2 hours, the distance between them is at most 350 km.
a. What mathematical statement represents the distance between the two vehicles after 2 hours? Define the variables used.
b. What could be the average speed of each vehicle in kilometers per hour?
c. If the car travels at a speed of 70 kilometers per hour, what could be the maximum speed of the bus?
d. If the bus travels at a speed of 70 kilometers per hour, is it possible that the car's speed is 60 kilometers per hour? Explain or justify your answer.
e. If the car's speed is 65 kilometers per hour, is it possible that the bus speed is 75 kilometers per hour? Explain or justify your answer.

  1. 👍
  2. 👎
  3. 👁
  1. 1a. Fr = 3 - 0.5L/20km * d.
    Fr = 3 - 0.025d.

    Fr = Fuel remaining in liters.
    d = Distance traveled in km.

    b. Fr = 3 - 0.025*55 = 1.625 Liters.

    c. No. When d equals 130 km, Fr is negative which means the tank empties before 130 km is reached.
    The max distance can be calculated by setting Fr to zero and solving for d:

    Fr = 3 - 0.025d = 0.
    0.025d = 3.
    d = 120 km, max.

    2a. D = Dc - Db.
    Dc: East.

    b. V = 0.5*350km/2h = 87.5 km/h(Assuming Dc = Db).

    c. D = Vc*t - Vb*t = 350 km.
    70*2 - Vb*2 = 350.
    -2Vb = 350-140 = 210.
    Vb = -105 km/h = 105 km/h, West.

    d. D = Vc*2 - (-70*2) = 350.
    2Vc + 140 = 350.
    2Vc = 210.
    Vc = 105 km/h, East.

    1. 👍
    2. 👎
  2. tabular method

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. science

    1.Which car has the greatest efficiency?(1 point) a 900 kg car that travels 15 km per liter of fuel a 900 kg car that travels 20 km per liter of fuel a 1,200 kg car that travels 15 km per liter of fuel a 1,200 kg car that travels

  2. physics

    how many kilometers per liter will a car obtain if its engine is 25% efficient and it encounters an average retarding force of 500N at highway speed? assume that the energy content of gasoline is 40Mj/liter

  3. mathematics

    Angela uses cup of strawberries to make of a liter of smoothie. What is the unit rate in cups of strawberries per liter of smoothie?


    Calculate the solubility of Mn(OH)2 in grams per liter when buffered at each of the following. a) pH 7.4 b) pH 9.2 c) pH 11.5 ALL IN GRAMS PER LITER. PLEASE HELP ME AND EXPLAIN

  1. Math

    How many 1/8 liter glasses of juice can you pour from a 1/2 liter bottle of juice?

  2. math

    pamela is shopping for bottled water at the supermarket. which is the best buy? A 1 2-liter bottle for 0.89 B 3 1-liter bottles for 1.50 ** C 24 0.5 liter bottles for 5.25 D 36 0.025-liter bottlesfor 4.75

  3. Chemistry

    Estimate the solubility of calcium fluoride, CaF2+, (a) in moles per liter and (b) in grams per liter of pure water. CaF2+(s) = Ca2+(aq)+2f-(aq)

  4. Science

    What is the molarity (moles per liter) of a solution in which 80 grams of sodium hydroxide, NaOH, is dissolved in 1 liter of solution? How do I convert the 80grams into mols?

  1. AP Chemistry

    Hey guys! Stuck on another one: The reaction 2N2O(g) 2N2(g) + O2(g) has Kc = 3.5 × 10-18 at a particular temperature. If 0.20 mol of N2O is placed in a 1.00 liter container, what will be the N2 concentration when equilibrium is

  2. Algebra

    How many 0.6 liter glasses can you fill up with a 4.5 liter pitcher?

  3. Math

    How many glasses each containing 1/8 liter can be poured from a half liter of milk

  4. chemistry

    Calculate the volume of fuel needed for a flight if the jet fuel has a density of 0.803kg/L.First use dimensional analysis to convert liter to grams.Then substract to find how many kilograms need to be added.then convert this mass

You can view more similar questions or ask a new question.