Time and Work Practice Test 4 with solutions

Question : 14 of 40

Marks: +1, -0

If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days, how long will 7 men and 10 boys take to do it?

$12 1/3$ days
$10 1/3$ days
$9 2/3$ days
$8 1/3$ days

Validate

Solution:

Here, (12 men + 16 boys) × 5 = (13 men + 24 boys) × 4
⇒ 60 men + 80 boys = 52 men + 96 boys
⇒ 8 men = 16 boys
∴ 1 man = 2 boys
13 men + 24 boys = 26 boys + 24 boys = 50 boys
7 men + 10 boys = 14 boys + 10 boys = 24 boys
Now, 50 boys can do the whole work in 4 days
Hence, 24 boys will do whole work in

{50×4}/{24}

days =

{25}/3

8 1/3

days.

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