Question Details

X can do a job in 10 days, Y in 15 days. They work together for 4 days. What part of work remains?

Options

A

16

B

15

C

14

D

13

Show Answer

Correct Answer :

Option D

13

Solution :

The correct option is 13.

To find the part of work that remains, let us calculate the work done by X and Y individually and together.

Work done by X in 1 day = 110

Work done by Y in 1 day = 115

Work done by X and Y together in 1 day = 110+115

Taking the LCM of 10 and 15, which is 30:

Work done in 1 day = 3+230=530=16

They work together for 4 days. Therefore, work completed in 4 days = 4×16=23

The remaining part of the work = 1-23=13

Thus, the remaining part of the work is 13.

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