Motorcyclist

From Trutnov, the motorcyclist started at an average speed of 60km/hour. At 12.30hrs the passenger car was started at a speed of 80km/hour. How many hours and at what distance from Trutnov will car catch a motorcycle?

Correct result:

t =  17 h
s =  360 km

Solution:

 60(t11)=80 (t12.50)  60 (t11)=80 (t12.50)  20t=340  t=17 h \ \\ 60(t-11)=80 \cdot \ (t-12.50) \ \\ \ \\ 60 \cdot \ (t-11)=80 \cdot \ (t-12.50) \ \\ \ \\ 20t=340 \ \\ \ \\ t=17 \ \text{h}
s=60 (t11)=60 (1711)=360 kms=60 \cdot \ (t-11)=60 \cdot \ (17-11)=360 \ \text{km}



We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you!






Showing 0 comments:
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:

  • Where and when
    cars The truck left Kremnica at 11:00 h at a speed of 60km/h. At 12:30 h, the passenger car started at an average speed of 80km/h. How many kilometers from Kremnica will the passenger car reach truck, and when?
  • Two trains
    vlak_8 From station A, the freight train traveled at a speed of 40 km/h in 9h. When he drove 15km, the fast train started from station A in the same direction at a speed of 70km/h. When will it the freight train catch up?
  • Cars 6
    car_15 At 9:00 am two cars started from the same town and traveled at a rate of 35 miles per hour and the other car traveled at a rate of 40 miles per hour. After how many hours will the cars be 30 miles apart?
  • Cruise liner
    parnik_1 Cruise liner runs along the river between points A and B. The journey downstream takes 40 minutes 1 hour upriver. The flow rate of the river is 3 km/h. What is the speed of cruise liner?
  • Two ships
    ship Two ships sailed from Venice - a cargo speed of 10 knots and a ferry speed of 18 knots. At what time will the ferry catch up with the cargo ship if it sailed 10 hours later?
  • Cyclist vs boat
    qm The cyclist wants to ride a short distance by boat, but when he stops at the pier, the boat does not pick up passengers yet and is preparing to leave. The cyclist decides that the boat will catch up at the next stop. The stop is 12km far along the water a
  • Round-trip
    car_35 A woman works at a law firm in city A which is about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive​ round-trip if she averages 40 mph.
  • Simplify 2
    expr Simplify expression: 5ab-7+3ba-9
  • Greg and Bill
    Clock0400_12 Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill?
  • Given
    1998-4b Given 2x =0.125 find the value of x
  • 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.
  • Bob traveled
    house_3 Bob traveled 20 meters to Dave's house. He arrived in 3 minutes. What was his average speed for the trip.
  • Equation
    rovnice_3 Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
  • Eight years ago
    clock-night-schr_14 The son asks his father how old he is. My father said: In ten years, I will have twice as much as I had eight years ago.
  • Six years
    children_9 In six years Jan will be twice as old as he was six years ago. How old is he?
  • Unknown number
    nums Identify unknown number which 1/5 is 40 greater than one tenth of that number.
  • Simple equation
    axes_1 Solve for x: 3(x + 2) = x - 18