What is the solution to the equation? r/7.1=4.2
2 answers:
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Answer:
10 hours
Step-by-step explanation:
Given that time taken to clean the garden by Abe and Bianca together = 6 hours.
So, in 1 hour both can clean 1/6 of the garden.
Let Abe can clean the garden in x hours, as Bianca took 5 hours less than Abe took, time taken by Bianca alone to clean the garden = x-5 hours.
Therefore, in 1 hour Abe can clean 1/x portion of the garden while Bianca can clean 1/(x-5) portion of the garden.
Together, Abe and Biana can clean \frac 1 x + \frac {1}{x-5} portion of garden in 1 hour.
As both can clean 1/6 portion of the garden in 1 hour together, so
Now, if x=2, then the time taken by Bianca x-5 = 2-5=-3 hours (negative) which is not possible.
For x= 15, time taken by Bianca = x=5=15-5=10 hours.
Hence, the time taken by Bianca alone to clean the garden is 10 hours.