Motion problem

From Levíc to Košíc go car at speed 81 km/h.
From Košíc to Levíc go another car at speed 69 km/h.

How many minutes before the meeting will be cars 27 km away?

Correct result:

t =  10.8 min


v1=81 km/h v2=69 km/h s=27 km  v=v1+v2=81+69=150 km/h t1=sv=27150=950=0.18 h t=t1h=t1 60 h=0.18 60 h=10.8 h=545=10.8 minv_{1}=81 \ \text{km/h} \ \\ v_{2}=69 \ \text{km/h} \ \\ s=27 \ \text{km} \ \\ \ \\ v=v_{1}+v_{2}=81+69=150 \ \text{km/h} \ \\ t_{1}=\dfrac{ s }{ v }=\dfrac{ 27 }{ 150 }=\dfrac{ 9 }{ 50 }=0.18 \ \text{h} \ \\ t=t_{1} \rightarrow h=t_{1} \cdot \ 60 \ h=0.18 \cdot \ 60 \ h=10.8 \ h=\dfrac{ 54 }{ 5 }=10.8 \ \text{min}

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:

Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Do you want to convert length units?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

Next similar math problems:

  • Gas, lpg and diesel
    lpg Calculate how much it costs to drive 35000 km by car: a) a car with a consumption of 8l/100 km of LPG for 60 cents b) 7l/100 km of petrol for 1.33 euros c) 6 l/100 km of diesel for 1.2 euros. Calculate what is cheaper.
  • Clay balls
    balls2 How many clay balls with a radius of 1 cm can be made from a ball of clay with a radius of 8 cm?
  • How many 4
    numbers2_1 How many 4 digit numbers that are divisible by 10 can be formed from the numbers 3, 5, 7, 8, 9, 0 such that no number repeats?
  • Construction of trapezoid
    lichobeznik Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction)
  • Value of expression
    expr X=2, y=-5 and z=3 what is the value of x-2y?
  • Four prisms
    hranol4b Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm2 b) 300 cm2 c) 3000 cm3 d) 300 cm3 Question No.2: The base of the prism is a rhombus with a side length of 30 cm and a height of 27 cm. The heig
  • Cylinder container
    valec2 The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
  • Gas sphere
    sphere_tank The gas tank has the shape of a sphere with a diameter of 14 m. How many m3 of gas will fit in it?
  • Games
    chess Jack and Paul decided to play chess against each other. They bet ten pesos on each game they played. Jack won three bets and Paul won fifty pesos. How many games did they play?
  • Mixing paint with water
    painter_1 Mr. Adamek will paint. The purchased paint is diluted with water in a ratio of 1: 1.5. a) how many parts of water will add to 1 part of the paint b) how many liters of water the mission adds to 2 liters of paint
  • Fountain
    fontana The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m2 of stone is wetted with water?
  • Shoemaker
    shoes Both the shoemaker and his apprentice repaired his shoes. The apprentice worked for 6 days and repaired 10 pairs of shoes every day. The shoemaker did the same job in 4 days. How many pairs of shoes did the shoemaker repair per day?
  • Two ribbons
    meter_1 The total length of two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon.
  • Outdoor temperature
    teplomer_1 The outdoor temperature was 8 degrees at midnight. The temperature declined 5 degrees during each of the next 3 hours. What was the temperature at 3am?
  • Mixing 5
    milk Carlos mixed 4/15 of chocolate syrup with 1/2 of milk. Determine the reasonable estimate of the total amount of liquid
  • Remainder
    dice What is the remainder of the division of natural numbers 293 and 7?
  • One press
    covid19 One press will produce one truck of respirators in 3.5 days. The second in 10 days. How long does it take to fill a truck while working together?