SSC CHSL 19 Apr 2021 Shift 3 Paper

Section: Quantitative Aptitude

Question : 67 of 100

Marks: +1, -0

P

and

Q

can complete a work in 9 days and 15 days, respectively. If they work together for three days, then in how many days will the remaining work be completed by

Q

alone?

Validate

Solution:

Work done by

P

and

Q

together in 3 days,

=\;{3}/{9}+\;{3}/{15}=\;{1}/{3}+\;{1}/{5}=\;{5+3}/{15}=\;{8}/{15}

∴

Remaining work

=1-\;{8}/{15}=\;{15-8}/{15}=\;{7}/{15}

∴

Time taken by

Q

alone to complete the remaining work

=15 × \;{7}/{15}=7

days.

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