Eesha, babu and chitra work in a handicraft factory. Eesha alone takes 10 hours to complete a single product but babu and chitra working together take 4 hours, for the completion of the same product. If all of them worked together and completed 14 products, then how many hours have they worked?
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Answer:
Eesha, babu and Chitra together have worked for 40 hours
Step-by-step explanation:
Time taken by Eesha to complete a product = 10 hours
In 10 hours Eesha completes = 1 product
Therefore, in 1 hour, Eesha completes = 1/10 product
Let in 1 hour Babu completes = 1/x product
And in 1 hour Chitra completes = 1/y product
In 1 hour Babu and Chitra both complete = product
In 4 hour Babu and Chitra complete 1 product
Therefore,
or, ........... (1)
If all three are working together then in one hour they will complete = product
Let in n hours they complete 14 products
Then,
Thus, they have worked for 40 hours
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