From the junction of two streets that are perpendicular to each other, two cyclists (each on another street) walked out. One ran 18 km/h and the second 24 km/h. How are they away from

a) 6 minutes,
b) 15 minutes?

Result

a =  3 km
b =  7.5 km

Solution:

$v_{ 1 } = 18 \ km/h \ \\ v_{ 2 } = 24 \ km/h \ \\ \ \\ v = \sqrt{ v_{ 1 }^2 + v_{ 2 }^2 } = \sqrt{ 18^2 + 24^2 } = 30 \ km/h \ \\ t_{ 1 } = 6 \ min = 6 / 60 \ h = 0.1 \ h \ \\ a = t_{ 1 } \cdot \ v = 0.1 \cdot \ 30 = 3 = 3 \ \text{ km }$
$t_{ 2 } = 15 \ min = 15 / 60 \ h = 0.25 \ h \ \\ \ \\ b = t_{ 2 } \cdot \ v = 0.25 \cdot \ 30 = \dfrac{ 15 }{ 2 } = 7.5 = 7.5 \ \text{ km }$

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...):

Be the first to comment!

Tips to related online calculators
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?
Pythagorean theorem is the base for the right triangle calculator.

Next similar math problems:

1. Spruce height
How tall was spruce that was cut at an altitude of 8m above the ground and the top landed at a distance of 15m from the heel of the tree?
2. Two aircraft
Two planes fly to the airport. At some point, the first airplane is away from the airport 98 km and the second 138 km. The first aircraft flies at an average speed of 420 km/h, the second average speed is 360 km/h, while the tracks of both planes are perpe
3. Drive to NJ
Ed drove to New Jersey at 30mph. He drove back home in 3 hours at 50 mph. How many hours did it take Ed to drive to New Jersey?
4. Storm
So far, a storm has traveled 35 miles in 1/2 hour in direction straight to observer. If it is currently 5:00 p. M. And the storm is 105 miles away from you, at what time will the storm reach you? Explain how you solved the problem.
5. Holidays - on pool
Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
6. Walkers
Walker, which makes 120 steps per minute, make distance from point A to point B for 55 minutes. The length of his step is 75cm. For how long does this distance go boy who will do 110 steps 60 cm long in a minute?
7. A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?
8. Median in right triangle
In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).
9. Aircraft nose down
How long will fall airliner from a height of 10000 m at speed 1,000 km/h?
The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach?
11. Center traverse
It is true that the middle traverse bisects the triangle?
12. Freight and passenger car
The truck starts at 8 pm at 30 km/h. Passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and destination city?