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Standard X

Mathematics

nth Term of an AP

Rimi and Tomy...

Question

Rimi and Tomy can do a piece of work in 45 and 40 days respectively. They began the work together, but Rimi leaves after some days and Tomy finished the remaining work in 23 days. After how many days did Rimi leave?

7 days

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8 days

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9 days

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11 days

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Solution

The correct option is C 9 days
Let ‘n’ be the number of days for which they worked together.
Then, n $\times (\frac{1}{45}) + (\frac{1}{40}) + (\frac{23}{40}) = 1$
Solving, n = 9 days.

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Rimi and Tomy can do a piece of work in 45 and 40 days respectively. They began the work together, but Rimi leaves after some days and Tomy finished the remaining work in 23 days. After how many days did Rimi leave?

The correct option is C 9 daysLet ‘n’ be the number of days for which they worked together. Then, n ×(145)+(140)+(2340)=1 Solving, n = 9 days.

The correct option is C 9 days
Let ‘n’ be the number of days for which they worked together.
Then, n $\times (\frac{1}{45}) + (\frac{1}{40}) + (\frac{23}{40}) = 1$
Solving, n = 9 days.