Problema di maths.

[benny__09]

Buongiorno qualcuno saprebbe risolvermi questo problema di maths? grazie per l'aiuto. Terry, Alisha and Ella run on a weekly basis. In total, they average 176 km a week. If Alisha runs twice as far as Terry and Ella runs one third of Alisha's distance, how far do each of them run?

[dperez4533]

Let's break down the information given and set up an equation to solve the problem.

1. Terry's distance: Let T represent Terry's weekly distance.
2. Alisha runs twice as far as Terry: Alisha's distance is 2T.
3. Ella runs one third of Alisha's distance: Ella's distance is (1/3) * Alisha's distance, which is (1/3) * 2T.

Now, we know that their total average distance is 176 km per week. So, we can set up an equation:

T + 2T + (1/3) * 2T = 176

Let's solve it step by step:

T + 2T + (2/3)T = 176

Combining the terms with T:

(1 + 2 + 2/3)T = 176

Now, add the fractions:

(6/3 + 6/3 + 2/3)T = 176

(14/3)T = 176

To solve for T, multiply both sides by 3/14:

T = (176 * 3) / 14
T = 528 / 14
T = 37.71 km (approximately)

So, Terry runs about 37.71 km per week.

Now, we can find the distances for Alisha and Ella:

Alisha runs twice as far as Terry:
Alisha's distance = 2 * 37.71 km = 75.42 km (approximately)

Ella runs one third of Alisha's distance:
Ella's distance = (1/3) * 75.42 km ≈ 25.14 km

To summarize:
- Terry runs about 37.71 km per week.
- Alisha runs about 75.42 km per week.
- Ella runs about 25.14 km per week.

nel caso ti lascio pure la traduzione in italiano.

Spezziamo le informazioni fornite e impostiamo un'equazione per risolvere il problema:

1. Distanza di Terry: Utilizziamo T per rappresentare la distanza settimanale di Terry.
2. Alisha corre il doppio di Terry: La distanza di Alisha è 2T.
3. Ella corre un terzo della distanza di Alisha: La distanza di Ella è (1/3) della distanza di Alisha, ovvero (1/3) * 2T.

Ora, sappiamo che la loro distanza media totale è di 176 km a settimana. Quindi, possiamo impostare un'equazione:

T + 2T + (1/3) * 2T = 176

Risolviamo passo dopo passo:

T + 2T + (2/3)T = 176

Combiniamo i termini con T:

(1 + 2 + 2/3)T = 176

Ora, sommiamo le frazioni:

(6/3 + 6/3 + 2/3)T = 176

(14/3)T = 176

Per risolvere T, moltiplichiamo entrambi i lati per 3/14:

T = (176 * 3) / 14
T = 528 / 14
T = 37,71 km (circa)

Quindi, Terry corre circa 37,71 km a settimana.

Ora possiamo trovare le distanze di Alisha ed Ella:

Alisha corre il doppio di Terry:
Distanza di Alisha = 2 * 37,71 km = 75,42 km (circa)

Ella corre un terzo della distanza di Alisha:
Distanza di Ella = (1/3) * 75,42 km ≈ 25,14 km

Per riassumere:
- Terry corre circa 37,71 km a settimana.
- Alisha corre circa 75,42 km a settimana.
- Ella corre circa 25,14 km a settimana.

[PNAGPP07]

Let T be the distance Terry runs, A be the distance Alisha runs, and E be the distance Ella runs.

T + A + E = 176 (total distance run)
A = 2T (Alisha runs twice as far as Terry)
E = A/3 (Ella runs one third of Alisha's distance)
Now we can solve for T, A, and E.

Substituting the second equation into the first equation, we get:

T + 2T + E = 176
3T + E = 176
Substituting the third equation into the equation above, we get:

3T + A/3 = 176
3T + (2T)/3 = 176
9T + 2T = 528
11T = 528
T = 48
Now that we know the distance Terry runs, we can find the distance Alisha and Ella run by substituting it into the second and third equations:

A = 2T = 2 * 48 = 96
E = A/3 = 96 / 3 = 32
Therefore, Terry runs 48 km, Alisha runs 96 km, and Ella runs 32 km.