A) \[2\frac{2}{5}\] days
B) \[1\frac{1}{5}\] days
C) \[3\frac{2}{5}\] days
D) \[7\frac{3}{5}\] days
Correct Answer: A
Solution :
Time taken by Amit to do the work = 4 days Time taken by Sumit to do the work = 6 days \[\therefore \] Work done by Amit in 1 day \[=\frac{1}{4}\] Work done by Sumit in 1 day \[=\frac{1}{6}\] So, work done by Amit and Sumit in one day \[\frac{1}{4}+\frac{1}{6}=\frac{3+2}{12}=\frac{5}{12}\] Hence, Amit and Sumit can do the piece of work \[\frac{12}{5}\] in days i.e., \[2\frac{2}{5}\] days.
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