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Tanvi can do a work in 25 days, and Tai can complete the same work in 30 days. They started the work together for 5 days. How much work is left?
Question

Tanvi can do a work in 25 days, and Tai can complete the same work in 30 days. They started the work together for 5 days. How much work is left?

A.

1130\frac {11}{30}​​

B.

1930\frac {19}{30}

C.

1112\frac {11}{12}

D.

112\frac {1}{12}

Correct option is B

Given:
Time taken by Tanvi to finish a job working alone is 25 days.
Time taken by Tai to finish the job is 30 days.
Formula Used:
Let total work be 1.
Then work done in each day will be Total WorkTotal Time\frac{\text{Total Work}}{\text{Total Time}}​​
Solution:
Work done by Tanvi in each day =125\frac 1{25}​​
Work done by Tai in each day = 130\frac 1{30}
Work done by Tanvi and Tai in each day  = 125+130=6+5150=11150\frac{1}{25} + \frac{1}{30} = \frac{6 + 5}{150} = \frac{11}{150}​​
Work done by Tanvi and Tai in 5 days = 11150×5=1130\frac{11}{150} \times 5 =\frac{11}{30}​​
Work left = 11130=19301- \frac{11}{30} =\frac{19}{30} ​

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