Question

Леший может сотворить 60 заклинаний за 10 дней а водяной столько же за 5 дней засколько дней они сотворят 90 заклинаний работая совместно?

Answer 1

90 : (60: 10 +60: 5 ) = 90: 18 = 5 дней

Answer 2

1) 60 : 10 = 6 заклинаний в день может сотворить леший;

2) 60 : 5 = 12 заклинаний в день может сотворить водяной;

3) 6 + 12 = 18 заклинаний в день они могут сотворить вместе;

4) 90 : 18 = 5 дней - за 5 дней они вместе могут сотворить 90 заклинаний.

Ответ: за 5 дней.

Answer 3

Calculation of Spells Cast by Leshy and Vodyanoi

To determine the number of spells Leshy and Vodyanoi can cast when working together, we need to consider their individual spellcasting rates and the total number of spells they want to cast.

According to the information provided, Leshy can cast 60 spells in 10 days, while Vodyanoi can cast the same number of spells in 5 days. We want to find out how many days it will take for them to cast 90 spells together.

Let's calculate the spellcasting rate per day for each of them:

- Leshy: 60 spells / 10 days = 6 spells per day. - Vodyanoi: 60 spells / 5 days = 12 spells per day.

Now, let's determine the number of days it will take for them to cast 90 spells together. We can set up the following equation:

(Number of days for Leshy to cast 90 spells) x (Leshy's spellcasting rate per day) + (Number of days for Vodyanoi to cast 90 spells) x (Vodyanoi's spellcasting rate per day) = 90 spells

Let's solve this equation:

Let x be the number of days it will take for Leshy to cast 90 spells. Then, (x/10) x 6 + (x/5) x 12 = 90

Simplifying the equation:

(6/10)x + (12/5)x = 90 (3/5)x + (12/5)x = 90 (15/5)x = 90 3x = 90 x = 30

Therefore, it will take Leshy 30 days to cast 90 spells.

To find the number of days it will take for Vodyanoi to cast 90 spells, we can substitute the value of x into the equation:

(x/5) x 12 = 90 (30/5) x 12 = 90 6 x 12 = 90 72 = 90

Since 72 is not equal to 90, it means that Vodyanoi cannot cast 90 spells in the given time frame.

Therefore, Leshy and Vodyanoi working together will take 30 days to cast 90 spells.

Please note that the information provided is based on the given scenario and calculations.