Question

Велосипедисты должны проехать 20 км до базы. Если бы велосипедисты двигались со скоростью более 1 км/ч, то они преодолели бы этот путь менее чем за 4 часа, если бы они уменьшили скорость на 1 км/ч, то не доехали бы до базы за 5 часов. Расчеты скорости, с которой ехали велосипедисты.

Answer 1

Ответ:

4 км/ч  <  V  <  5 км/ч.

Пошаговое объяснение:

Пусть  V --   скорость  с  которой  планировали  ехать  велосипедисты.

(V  +  1) км/ч   ----    скорость  в  1-ом   случае.

Составим   неравенство.        20/(V  +  1)  <  4  ===>  20  <  4V  +  4  ===>

===>  4V  >  20  -  4  ===>  V  >  4 (км/ч).

(V  -  1) км/ч   ----     скорость   во  2 - ом  случае.

Составим  неравенство.        20/(V  -  1)  >  5  ===>  20  >  5V  -  5   ===>

===>  5V  <  25  ===>  V  <  5 (км/ч).  

Answer 2

Calculation of the Cyclists' Speed

To calculate the speed at which the cyclists were traveling, we can use the given information about the time it would take them to cover the distance under different conditions.

According to the information provided, if the cyclists were traveling at a speed greater than 1 km/h, they would have covered the distance of 20 km in less than 4 hours. On the other hand, if they reduced their speed by 1 km/h, they would not have reached the base within 5 hours.

Let's assume the speed of the cyclists as x km/h.

If the cyclists were traveling at a speed greater than 1 km/h, they would have covered the distance of 20 km in less than 4 hours. This can be expressed as:

20 / x < 4 If the cyclists reduced their speed by 1 km/h, they would not have reached the base within 5 hours. This can be expressed as:

20 / (x - 1) > 5 To solve these two equations, we can use algebraic methods.

By rearranging the first equation, we get:

x > 20 / 4

Simplifying further:

x > 5

By rearranging the second equation, we get:

x - 1 < 20 / 5

Simplifying further:

x - 1 < 4

Adding 1 to both sides:

x < 5

Therefore, the speed of the cyclists must be greater than 5 km/h and less than 5 km/h.

Please note that the given information does not provide enough details to determine the exact speed at which the cyclists were traveling. However, we can conclude that their speed must be greater than 5 km/h and less than 5 km/h based on the given conditions.

Let me know if there's anything else I can help you with!