The students of class VIII are planting some saplings in the school on eight world environmental day of class 80 and class 8B work together they will complete this in 10 days of class eight Evo: they will complete it in 15 days but class eight is busy with a not project how many days will be class eight BTech to do this work on their own
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Answer:
Let's denote the work to plant the saplings as one unit. Class 8A's rate of work is \( \frac{1}{10} \) units per day, and Class 8B's rate is \( \frac{1}{15} \) units per day. Together, their combined rate is \( \frac{1}{10} + \frac{1}{15} = \frac{3}{30} + \frac{2}{30} = \frac{5}{30} \) units per day.
Now, we need to find out how many days it would take for Class 8B to complete the work on their own. Let \( D \) be the number of days Class 8B would take to complete the work alone.
The rate of Class 8B is \( \frac{1}{15} \) units per day. Therefore, the equation for the work done by Class 8B is \( D \times \frac{1}{15} = 1 \) unit.
\[ D \times \frac{1}{15} = 1 \]
Solving for \( D \):
\[ D = 15 \]
So, Class 8B would take 15 days to complete the work on their own.