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34kurt
3 years ago
14

One bricklayer can build a wall in 6 hours. Another bricklayer could build the same wall in 4 hours. If they work together, how

long will it take to build the wall?
Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

Answer:

they work together, it will take 2.4 hours to build the wall.

Step-by-step explanation:

One bricklayer can build a wall in 6 hours.

One hour work = \frac{1}{6}

Another bricklayer can build the same wall in 4 hours.

One hour work = \frac{1}{4}

They can together, how long will take them to build the wall.

Let's take "t" the time taken to build the wall.

The sum of their work rate = 1 (To build the wall)

\frac{t}{6} + \frac{t}{4} = 1

Now we have to solve this equation. Take LCD of 6 and 4.

The LCD (least common divisor) of 6 and 4 is 12.

\frac{2t + 3t}{12} = 1

5t = 12*1

5t = 12

Dividing both sides by 5, we get

t = \frac{12}{5}

t = 2.4 hours.

So, they work together, it will take 2.4 hours to build the wall.

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