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 ship 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 simultaneously. Calculate the speed at which the cyclist must go to catch the ship at the next stop. The boat floats at a speed of 5 km/h.
Correct answer:
Tips for 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?
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?
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Themes, topics:
Grade of the word problem:
Related math problems and questions:
- Bus and Milan
The bus started from the village at a speed of 60 km/h. After one kilometer, Milan came to the bus stop on a motorcycle with his grandmother. When they found the bus had driven away, he tried to catch it. At the next stop, at a distance of 3 km, he caught - Average speed
When the bus stops at a bus stop driving average speed is 45 km/h. If it did not stop, it would drive at 54 km/h. How many minutes of every hour does it spend at stops? - Otto and Joachim
Otto and Joachim go through the woods. After some time, Otto becomes tired and makes 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 a - The tourist
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? - Achilles and the turtle
It is known that Achilles will not catch up with the turtle. But his brother Auchalles can do it. He even gave the turtle an 8-hour lead. Calculate how far from the start Auchalles will meet a turtle moving at an average speed of 70 m/h if Auchalles walks - Traveling 28813
The ship set sail at 6 A.M. and traveled at a speed of 16 km per hour. At 8:30 A.M., a speedboat was sent behind her, traveling 24 miles per hour. When will the boat catch up? - Chase
Paul travel at 60 km/h. After the 18 km ride found that he had forgotten an important book, his brother Thomas was behind him carrying it. How fast must Thomas go to catch up with Paul in 31 minute? - Peleton
The cycling race was run at an average speed of 45 km/h. One cyclist lost with defect 8 minutes. How long and far must he go at speed 51 km/h to catch the peloton again? - Horizontal 82197
A cyclist rides along a horizontal path at a constant speed, overcoming a total resistance force of 20 N. What work does he do on a 5 km track? - Two ships
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 10:24. Find how far they will meet from A and when they will reach the destination. - Possible 81020
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible? - Holešovice 6222
Martina will leave Včelná on a bicycle at 12 km/h. From Holešovice, which is 32 km from the village of Včelná, at the same moment, Eva will drive towards it at a speed of 18 km/h. How long and where will they meet? - Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the - Hoverboard
Adam lives in Podhradí, and his friend Marcel lives in Lhota. Lhota is 6 km from Podhradí. Adam travels the same distance on a hoverboard in 20 minutes as Marcel does in 25 minutes. They leave home simultaneously, drive towards each other, and meet in pre - Bus stop
Find 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 a speed of 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 - Pedestrian 7570
A pedestrian left town S at a speed of 4.2 km/h. After 1 hour and 10 minutes, a cyclist left the same city and in the same direction at a speed of 18 km/h. After how many minutes does the cyclist catch up with the pedestrian, and how far from town S? - Traveling 12371
Behind a cyclist traveling at an average speed of 20 km/h, he left the same place 2 hours later than a passenger car at an average speed of 60 km/h. How long and at what distance will the passenger car catch up with the cyclists?