Two buses left at the same time towards each other from points M and N, the distance between which is 70 km

| July 5, 2021 | education

Two buses left at the same time towards each other from points M and N, the distance between which is 70 km, and after 40 minutes simultaneously arrived at the intermediate point P. Find the distance between points M and P, if it is known that the average speed of the bus leaving point M , turned out to be 15 km / h more than the average speed of the bus leaving point N.

We will solve this problem using the equation.

1. Let us denote by x the speed of the bus leaving point N.

2. Find the speed of the bus leaving point M.

x + 15 km / h.

3. Determine how many kilometers the bus that left N. traveled in 40 minutes.

x km / h * 40 min = x km / h * 2/3 h = 2/3 x km.

4. Find the distance the bus traveled from point M.

(x + 15) km / h * 40 min = (x + 15) km / h * 2/3 h = 2/3 x + 10 km.

5. Let’s compose and solve the equation.

2/3 x + 2/3 x + 10 = 70;

4/3 x = 60;

x = 45.

6. The speed of the bus leaving N is x = 45 km / h.

7. The speed of the bus leaving M is 45 km / h + 15 km / h = 60 km / h.

8. Find the distance between M and P.

60 km / h * 40 min = 60 km / h * 2/3 h = 40 km.

Answer: The distance between M and P is 40 km.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.