30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours?

time taken is 32 days,

32 days

Step-by-step explanation:

Men. Hours. Days

30. 6. 56

45 7. X

More men less hours: inverse relation, switch the fraction 30/45 to 45/30.

More hours less days: inverse relation, 6/7 switch to 7/6.

(45/30)*(7/6) = 56/x

7/4 = 56/x ( cross multiplication)

7x = 4*56

x = 224/7

x = 32

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.