Movement

From the crossing of two perpendicular roads started two cyclists (each at different road). One runs at average speed 28 km/h, the second at average speed 24 km/h. Determine the distance between them after 45 minutes cycling.

Correct result:

x =  27.659 km

Solution:

$t=45 \ min \rightarrow h=45 / 60 \ h=0.75 \ h \ \\ v_{1}=28 \ \text{km/h} \ \\ v_{2}=24 \ \text{km/h} \ \\ \ \\ s_{1}=v_{1} \cdot \ t=28 \cdot \ 0.75=21 \ \text{km} \ \\ s_{2}=v_{2} \cdot \ t=24 \cdot \ 0.75=18 \ \text{km} \ \\ \ \\ x=\sqrt{ s_{1}^2 + s_{2}^2 }=\sqrt{ 21^2 + 18^2 }=3 \ \sqrt{ 85 }=27.659 \ \text{km}$

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!

Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

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.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

Next similar math problems:

• Slow saving in banks
How long will it take to save € 9,000 by depositing € 200 at the beginning of each year at 2% interest?
• Fighter
A military fighter flies at an altitude of 10 km. From the ground position, it was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h.
• What is
What is the annual percentage increase in the city when the population has tripled in 20 years?
• Age of family
The age of father and son is in the ratio 10: 3. The age of the father and daughter is in ratio 5: 2. How old are a father and a son if the daughter is 20?
• Cyclist 12
What is the average speed of a cycle traveling at 20 km in 60 minutes in km/h?
• The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after 3 half-lives?
• Motorcycle engine
The motorcycle engine has a constant power of 1.2 kW for 0.5 hours. How much work does the engine do? Express work in kWh and Ws units.
Suzan reads a book. If she read half an hour a day, she would read it in nine days. How many minutes does he have to read a day if he wants to read it three days earlier?
• The tourist
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many km did he walk in three days?
• Electric work
Calculate the work done by the electric forces passing the current of 0.2 A through the bulb in 10 minutes if the bulb is connected to a 230 V power supply.
• What time is it?
What time is it, when there is 4 times less time left until midnight than the time that has elapsed since noon? What time is it, when one-fifth of the hours that have passed since midnight is equal to one-third of the hours that are missing by 12 o'clock?
• Five combers
Five combers harvest 12 rows of strawberries in 4 hours. How many rows of strawberries will two combers harvest in 10 hours?
• Cable car
The cable car will carry 1280 passengers in 40 minutes. How many people will be transported in 2.5 hours?
• The field
3 tractors plow the field in 6 hours. However, after 2 hours, 1 tractor broke down. How long will the field be plowed?
• Work together
Two bricklayers plastering a wall. The first would plaster it in 8 hours, the second in 12 hours. How many hours will they be done with the work if they work together?