Question

15. X number of men can finish a piece of work in 30
days. If there were 6 men more, the work could be
finished in 10 days less. What is the original number
of men?
(a) 10
(b) 11 (c) 12 (d) 15
(e) 13​​

Answer 1

C) 12

Description for Correct answer:

Xmen×30days=(X+6)men×(30−10)days

X×30=(X+6)×20

3X=2X+12

X=12 men

Answer 2

Solution:

Given

• X men take 30 days to complete a work.
• 1 men will takes 30X days to complete then. (From the above relation).

And,

• If there were 6 more men, then number of men now is X + 6.
• No. of days is 30 - 10 = 20 days.

• X + 6 men take 20 days to complete.
• 1 men will take (X + 6)20 days then..

According To Sum

$→\;{\sf{30x = (x+6)20}}$

$→\;{\sf{30x = 20x+120}}$

$→\;{\sf{30x-20x = 120}}$

$→\;{\sf{10x = 120}}$

$→\;{\sf{x = \frac{120}{10}}}$

$→\;{\sf{x = 12}}$

The Original Number of Men ◕➜ $\Large{\red{\mathfrak{12\;✓}}}$

Hope It Helps You ✌️