NCHMCT JEE 2015 Question Paper with solutions for online practice

Question : 5 of 200

Marks: +1, -0

A, B, C respectively can complete a work in 12, 15, 20 days. A docs the work for 2 days, then B does it for 3 days and then C does for 4 days. If D completes the rest of the work in 13 days, in how many days can D do the complete work alone?

18 days
24 days
30 days
None of these

Validate

Solution:

A’s 2 days work =

1/{12}

× 2 =

1/6

B’s 3 days work =

1/{15}

× 3 =

1/5

C’s 4 days work =

1/{20}

× 4 =

1/5

Work done by A, B and C =

1/6+1/5+1/5

{17}/{30}

Remaining work = 1 -

{17}/{30}

{13}/{30}

Which is done by D in 13 days
Hence, D can do the whole work alone in 30 days.

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