RRB RPF RPSF SI and CONS Model Papers 10 with solutions

Question : 36 of 120

Marks: +1, -0

ARITHMETIC P is 4 times faster than Q in doing a job. Q takes 27 more days than P to finish the job. If they work together, in how many days will the work be fin- ished?

$6 4 /5$ days
$7 2 /5$ days
$7 3/ 5$ days
$7 1/ 5$ days

Validate

Solution:

(4) Let time taken by P be x days.
∴ Time taken by Q = 4x days
According to the question,
4x – x = 27 ⇒ 3x = 27 ⇒ x = 9 days
∴ Time taken by Q = 9 × 4 = 36 days
∴ (P + Q)’s 1 day’s work

= {1}/{9}+ {1}/{36}= {4+1}/{36}= {5}/{36}

∴ Required time

=36/5

=7 1/5

days

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