SSC MTS Model Paper 6

Question : 26 of 150

Marks: +1, -0

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

10 days
11 days
15 days
20 days

Validate

Solution:

B's 1 day's work

( { 1 } /{ 12 } - { 1 } /{ 20 } ) = { 2 } /{ 60 } - { 1 } /{ 30 }

Now, (A + B)'s 1 day's work

= ( { 1 }/ { 20 } + { 1 }/ { 30 × 2 } ) = { 4 } /{ 60 } = { 1 }/ { 15 }

[ B works for half day only]
So, A and B together will complete the work in 15 days.

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