Question

Библиотеке надо переплести 900 книг. Первая мастерская может выполнить эту работу за 10 дней, а вторая за 15 дней. За сколько дней выполнят эту работу мастерские если будут работать вместе. решение под.

Answer 1

900÷10=90 книг в день, производительность 1 мастерской 900÷15=60 книг в день, производительность 2 мастерской 90+60=150 книг в день, совместная производительность 900÷150=6 дней за 6 дней выполнят работу две мастерские совместно

Answer 2

Answer in detail. The library needs to rebind 900 books. The first workshop can do this work in 10 days, and the second one in 15 days. How many days will it take for the workshops to do this work if they work together. solution under.

This is a problem of inverse proportionality. The rate of work of the first workshop is 900/10 = 90 books per day, and the rate of work of the second workshop is 900/15 = 60 books per day. If they work together, their combined rate of work is 90 + 60 = 150 books per day. Therefore, the time it will take for them to do 900 books together is 900/150 = 6 days. Here is the solution in a mathematical form:

$$ \begin{aligned} \text{Rate of work of the first workshop} &= \frac{900}{10} = 90 \text{ books per day}\\ \text{Rate of work of the second workshop} &= \frac{900}{15} = 60 \text{ books per day}\\ \text{Combined rate of work} &= 90 + 60 = 150 \text{ books per day}\\ \text{Time to do 900 books together} &= \frac{900}{150} = 6 \text{ days} \end{aligned} $$