Question

Мотоциклист выехал из города а в город в если он будет ехать со скоростью 35км /ч то опоздает на 2 часа а если 50км/ч то он приедит на один час раньше найдите расстояние между городами

Answer 1

Пусть икс (километров ) РАССТоЯНИЕ МЕЖДУ ПУНТКАМИ a и b тогда икс чёрточка 35 минус 2 икс чёрточка 50 плюс один (часов) время которое затратит мотоцикл если преедит в назначенный срок           
2)350 : 35 минус 2 равно 8 (часов) время которое затратит мотоциклист если преедит в назначенный срок 
ответ 350 километров 8 часов

Answer 2

Calculation of Distance between Cities

To find the distance between the two cities, we can use the information provided about the motorcycle rider's speed and the time it takes to travel at different speeds.

Let's assume that the distance between the cities is represented by d kilometers.

According to the given information: - If the rider travels at a speed of 35 km/h, they will be 2 hours late. - If the rider travels at a speed of 50 km/h, they will arrive 1 hour earlier.

To calculate the distance, we can set up two equations based on the given information:

Equation 1: d = (35 km/h) * (t + 2 hours) Equation 2: d = (50 km/h) * (t - 1 hour)

Solving these equations will give us the value of d, which represents the distance between the cities.

Let's solve the equations step by step.

Solving the Equations

Equation 1: d = (35 km/h) * (t + 2 hours)

Equation 2: d = (50 km/h) * (t - 1 hour)

We can simplify these equations by removing the units of time (hours) and rewriting them as:

Equation 1: d = 35t + 70 Equation 2: d = 50t - 50

Now we have a system of two equations with two variables (d and t). We can solve this system of equations to find the values of d and t.

Subtracting Equation 2 from Equation 1, we get:

(35t + 70) - (50t - 50) = 0

Simplifying the equation:

35t + 70 - 50t + 50 = 0

-15t + 120 = 0

-15t = -120

Dividing both sides by -15:

t = 8

Now that we have the value of t, we can substitute it back into either Equation 1 or Equation 2 to find the value of d.

Let's substitute t = 8 into Equation 1:

d = 35t + 70

d = 35 * 8 + 70

d = 280 + 70

d = 350

Therefore, the distance between the two cities is 350 kilometers.

Answer

The distance between the cities is 350 kilometers.