Time and Work Practice Test 2 with solutions

Question : 34 of 40

Marks: +1, -0

A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is—

$13 1/2$ days
$10 1/5$ days
$8 1/2$ days
$6 3/5$ days

Validate

Solution:

Let total number of days taken to complete the work be t.
Hence (t - 3) ×

1/{14}

+ t ×

1/{21}

= 1
⇒

t(1/{14}+1/{21})

1+3/{14}

⇒

t × 5/{42}

{17}/{14}

⇒

{17}/{14} × {42}/5

{51}/5

10 1/5

days.

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