A) \[\frac{30}{11}\]
B) \[\frac{11}{30}\]
C) \[\frac{19}{30}\]
D) \[\frac{30}{19}\]
Correct Answer: C
Solution :
\[\because \] A does \[\frac{1}{5}\] part of work in 5 days \[\therefore \] Part of work completed by A in one day \[=\frac{1}{25}\] Similarly, Part of work completed by B in one day \[=\frac{1}{30}\]. \[\therefore \] Part of work completed by both A and B in one day \[=\frac{1}{25}+\frac{1}{30}\]. \[=\,\,\frac{6+5}{150}\times 5=\frac{11}{30}\] \[\therefore \] Work done by A and B in 5 days \[=\,\,\frac{11}{150}\times 5=\frac{11}{30}\] \[\therefore \] Remaining work \[=1-\frac{11}{30}\] \[=\,\,\,\,\,\frac{30-11}{30}=\underline{\frac{\mathbf{19}}{\mathbf{30}}}\]You need to login to perform this action.
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