Motion

From two different locations distant 232 km started against car and bus. The car started at 5:20 with average speed 64 km/h. Bus started at 7:30 with average speed 80 km/h.

When they meet?
How many kilometers went the bus?

Result

x (hh:mm) = 8:09 Wrong answer
s2 =  51.9 km

Solution:

 Δt=(75)+160(3020)=2.17 h  s1+s2=232 v1(t+Δt)+v2t=232  t=23264Δt64+80=0.65 h x=5+16020+t+Δt=8.153 x=8:09 \ \\ \Delta t = (7-5)+\dfrac{1}{60}\cdot (30-20) = 2.17 \ h \ \\ \ \\ s_1 + s_2 = 232 \ \\ v_1(t+\Delta t) + v_2 t = 232 \ \\ \ \\ t = \dfrac{ 232-64 \cdot \Delta t} { 64+80} = 0.65 \ h \ \\ x = 5 + \dfrac{1}{60}\cdot 20 + t + \Delta t = 8.153 \ \\ x = 8:09
s2=v2t=800.65=51.9 kms_2 = v_2 t = 80 \cdot 0.65 = 51.9 \ \text{km}



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!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
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:

  1. Bus and Milan
    motorka The bus started from the village at speed 60 km/h. After one kilometer, when Milan came to bus stop on a motorcycle with grandmother. When they found that bus drove away he try to catch it. At the next stop, a distance of 3km caught up bus. How quickly ha
  2. Train from Prague
    train_cd_1 First train from Prague started at 8:00 hour at 40 kilometers per hour. Train from Ostrava started at 9:20 at 80 km per hour. In how many hours and how far from cities with trains meet if the distance of cities is 400 km.
  3. Two ports
    ship From port A on the river, the steamer started at an average speed of 12 km/h towards port B. Two hours later, another steamer departed from A at an average speed of 20 km/h. Both ships arrived in B at the same time. What is the distance between ports A an
  4. Call of Duty
    CallofDuty Game Call of Duty in CTF (Capture the Flag) opposes the British and the Germans, whose bases are 15 km apart. A German soldier stole the British flag and hid it with it in a secret place between the bases. If the British soldiers set out at a speed of 14
  5. Cenda and Pepa
    suchacky Cenda and Pepa went to the event. Cenda started alone. Canda started after him for 20 minutes. How long took Cenda to catch him? Cenda traveling at 15 km/h, and Pepa traveling at 25 km/h.
  6. The ship
    ship_1 The ship went upstream speed of 20 km/h in relation to water. River flows at speed 10 km/h. After half an hour, he stopped and returned downstream to the starting point. How long it took way back when even if downstream speed of ship is 20 km/h in relatio
  7. Jane plants
    flowers_8 Jane plants flowers in the garden. If she planted 12 every hour instead of 9 flowers, she would finish with the job an hour earlier. How many flowers does she plant?
  8. Candy
    friends Peter had a sachet of candy. He wanted to share with his friends. If he gave them 30 candies, he would have 62 candies. If he gave them 40 candies, he would miss 8 candies. How many friends did Peter have?
  9. Theatro
    divadlo_1 Theatrical performance was attended by 480 spectators. Women were in the audience 40 more than men and children 60 less than half of adult spectators. How many men, women and children attended a theater performance?
  10. Simple equation
    axes_1 Solve for x: 3(x + 2) = x - 18
  11. Six years
    children_9 In six years Jan will be twice as old as he was six years ago. How old is he?
  12. Substitution
    eq1_5 solve equations by substitution: x+y= 11 y=5x-25
  13. Equation
    rovnice_3 Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
  14. Age question
    age Jano is three times older than Zdeno. Zdeno is 12 years younger than Janko. How old is Jano and how old is Zdeno?
  15. Father and son
    Rodina-01_1 When I was 11, my father was 35 years old. Today, my father has three times more years than me. How old is she?
  16. Waiting room
    fly In the waiting room are people and flies. Together they have 15 heads and 50 legs (fly has 6 legs). How many people and flies are in the waiting room?
  17. Blackberries
    cernice Daniel, Jolana and Stano collected together 34 blackberries. Daniel collected 8 blackberries more than Jolana, Jolana 4 more than Stano. Determine the number blackberries each collected .