Question

За 10 дней пират Ерёма способен выпить бочку рома. А у пирата у Емели ушло б на это 2 недели. За сколько дней прикончат ром пираты действуя вдвоём?

Answer 1

У нас есть 1 бочка рома. Ерема за 1 день выпьет 1/10 этой бочки, а Емеля за 1 день 1/14 этой бочки. Вдвоем они выпьют 1/10+1/14=12/70 этой бочки.
значит 1 бочку они выпьют за 1/(12/70)~6дней

Answer 2

1) 1/10 бочки рома выпьет пират Ерема за один день
2) 2 недели=14дней
3) 1/14 - бочки рома выпьет за один день пират Емеля
4) 1/10+1/14=7/70+5/70=12/70=6/35 - бочки рома выпьют за день оба пирата вместе
5) 35:6=5(ост 5)
значит оба пираты прикончат бочку рома за неполных 5+1=6 дней
овтет: за неполных 6 дней

Answer 3

Problem Analysis

We are given that Pirate Yeroma can drink a barrel of rum in 10 days, while Pirate Yemelya would take 2 weeks (14 days) to do the same. We need to determine how many days it would take for both pirates to finish the rum if they work together.

Solution

To find the number of days it would take for both pirates to finish the rum, we need to calculate their combined rate of drinking.

Let's start by calculating the rate at which each pirate drinks rum. Pirate Yeroma can drink a barrel of rum in 10 days, so his rate is 1/10 barrels per day. Pirate Yemelya can drink a barrel of rum in 14 days, so his rate is 1/14 barrels per day.

To find their combined rate, we add their individual rates together:

Combined rate = Yeroma's rate + Yemelya's rate

Combined rate = 1/10 + 1/14 barrels per day

To simplify the calculation, we can find a common denominator for the fractions:

Combined rate = (14/140) + (10/140) barrels per day

Combined rate = 24/140 barrels per day

Now, we can calculate the number of days it would take for both pirates to finish the rum by dividing the total amount of rum (1 barrel) by their combined rate:

Number of days = 1 barrel / (24/140 barrels per day)

Simplifying the division:

Number of days = 1 barrel * (140/24) days per barrel

Number of days = 5.8333 days

Therefore, it would take approximately 5.83 days for both pirates to finish the rum if they work together.

Conclusion

If Pirate Yeroma can drink a barrel of rum in 10 days and Pirate Yemelya would take 2 weeks (14 days) to do the same, it would take approximately 5.83 days for both pirates to finish the rum if they work together.