SSC CGL Model Paper 3

Question : 58 of 100

Marks: +1, -0

A man can cut a plank in 4 pieces in 5 hours while a woman can cut the same plank in 3 pieces in 4 hrs.
Then in how many hours can 1 man & 1 woman cut the same plank in 3 pieces. (In hours)

$1/2$
$1 29/31$
$7 3/4$
$1 2/3$

Validate

Solution:

{M_1×d_1×h_1 }/W_1={M_2×d_2×h_2 }/W_2

⇒

{M+5}/4={W+4}/3⇒15M=16W

Now,

{M+5}/4={(M+{15M}/16)×h}/3

⇒

{15M}/4={31M}/16×h

⇒

h=60/31⇒h=1 29/31

hrs

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