Cyclist vs boat

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 and 17 km along the cycle path. Both the boat and the cyclist will drive towards the next stop at the same time. Calculate the speed at which the cyclist must go to catch the boat at the next stop. The boat floats at a speed of 5 km/h.

Correct answer:

v =  7.0833 km/h

Step-by-step explanation:


17 = v • (12/5)

12v = 85

v = 85/12 ≈ 7.083333

Our simple equation calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



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 a 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?

Related math problems and questions:

  • Average speed
    bus27 When the bus stops at a bus stop driving average speed is 45 km/h. If it did not stop, it would drive at a speed of 54 km/h. How many minutes of every hour does it spend at stops?
  • The tourist
    cyclist The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up and how many kilometers will he go?
  • Bus and Milan
    motorka The bus started from the village at a speed of 60 km/h. after it passes one kilometer, Milan came to the bus stop on a motorcycle with his grandmother. When they found that the bus drove away, he tries to catch it. At the next stop, at a distance of 3 km,
  • Peleton
    tdf6 The cycling race was run at an average speed of 45 km/h. One cyclist lost with defect 8 minutes. How long and how far he must go at speed 51 km/h to catch the peloton again?
  • Bus stop
    bus Determine at what time the bus leaves from the bus stop outside the village, if you know that when you leave home at 8:00 and go at speed 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the
  • Cyclist
    sagan A cyclist is moving at 35 km/h and follow pedestrian who is walking at speed 4 km/h. Walker has an advantage 19 km. How long take cyclist to catch up with him?
  • Fog
    fog The car started in fog at a speed of 30 km/h. After a 12-minute drive, the fog dissipated, and the driver drove the next 12 minutes distance, 17 km. On the last 17 km long again, the driving conditions deteriorated, and the driver drove at a speed of 51 k
  • Otto and Joachim
    monkey Otto and Joachim go through the woods. After some time Otto tire and make 15 minutes stop. Joachim meanwhile continues at 5 km/h. Otto when he set off again, first running speed of 7 km/h, but it keep only 30 sec and 1 minute must continue at 3 km/h. This
  • Two ships
    ship The distance from A to B is 300km. At 7 am started from A to B a ferry with speed higher by 20 km/h than a ship that leaves at 8 o'clock from B to A. Both met at 10h 24min. Determine how far they will meet from A and when they reach the destination.
  • Two trains
    vlak 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?
  • Cyclists
    cyclist Cyclist who rides at an average speed 16 km/h travels trip distance 10 min before the cyclist who rides at an average speed 11 km/h. What is the length of this cyclist trip(distance in km)?
  • Motorcyclist
    motorbike 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?
  • Between two bus stops
    bus27 Wanda lives between two bus stops at three-eighths of their distance. He started the house today and found that he would have arrived at the bus stop if he was running to one or the other stop. The average bus speed is 60 km/h. What is the average speed o
  • Chase
    pavel Paul travel at 60 km/h. After 18 km ride found that he forgot an important book. His brother Thomas behind him carrying it. How fast must Thomas go to catch up with Paul in 31 minutes?
  • Pedestrian and the cyclist
    cyklista Pedestrian and cyclist went against each from the two cities that are distant 40 km. Pedestrian started 30 minutes before the cyclist and walk an average speed of 5 km/h. What speed went cyclist when met after 120 minutes from the start of the pedestrian?
  • Bike ride
    car Marek rode a bike ride. In an hour, John followed him on the same route by car, at an average speed of 72 km/h, and in 20 minutes he drove him. Will he determine the length of the way that Marek took before John caught up with him, and at what speed did M
  • Škoda cars
    cars At 8:30 am, Škoda 120 started from Prievidza at 60 km/h in the direction of Bratislava. At 9:00 started from Prievidza at the same direction Škoda Rapid at 90 km/h. Where and when will Škoda Rapid catch up Skoda 120?