A farmer can plow a given field in 11 hours. If his son helps him, they can plow the field together in 6 hours. How many hours would it take his son to plow the field alone? Express your answer as a fraction reduced to lowest terms, if needed.

13 1/5hours

Step-by-step explanation:

If the man can plough a given field in 11hours, this means the man can plough 1/11 of the same field in 1hour.

Let 1/x be the portion of the land the son can plough in 1 hour where x is the number of hours the son can plough the land alone.

If they can plough the field together in 6 hours, it means they can plough 1/6 portion of the field together in 1 hour.

Mathematically,

t/11+t/x = 1

Where t is the total time it takes them to plough the land together

Finding the LCM we have;

xt+11t/11x = 1

xt + 11t = 11x

If t = 6

6x +11(6) = 11x

66 = 11x -6x

66 = 5x

x = 66/5

x = 13 1/5hours

This means it will take the son 13 1/5hours to plough the land alone.

darn right!

step-by-step explanation:

steve kerr's sons name is let that skin in.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: