Question

теплоход был в пути трое суток . в первые сутки он прошёл 3/10 всего пути, во вторые сутки - 9/20 всего пути.какую часть пути теплоход прошёл в третьи сутки?

Answer 1

Calculation of the Distance Traveled by the Ship

To determine the portion of the journey the ship traveled on the third day, we need to calculate the distances traveled on the first and second days.

Let's assume the total distance of the journey is represented by D.

On the first day, the ship traveled 3/10 of the total distance, which can be calculated as (3/10) * D.

On the second day, the ship traveled 9/20 of the total distance, which can be calculated as (9/20) * D.

To find the portion of the journey the ship traveled on the third day, we need to subtract the distances traveled on the first and second days from the total distance:

Distance traveled on the third day = Total distance - Distance traveled on the first day - Distance traveled on the second day

Let's calculate this:

Distance traveled on the third day = D - (3/10) * D - (9/20) * D

Simplifying the equation:

Distance traveled on the third day = D - (3/10) * D - (9/20) * D

Distance traveled on the third day = D - (3/10 + 9/20) * D

Distance traveled on the third day = D - (6/20 + 9/20) * D

Distance traveled on the third day = D - (15/20) * D

Distance traveled on the third day = D - (3/4) * D

Distance traveled on the third day = (1 - 3/4) * D

Distance traveled on the third day = (1/4) * D

Therefore, the ship traveled 1/4 of the total distance on the third day.