Question

Isaiah can paint a board in 3 hours while Joshua can do the same job in 6 hours. If they work together, how long will it take to finish the job?

Answer 1

Answer:

3

Step-by-step explanation:

is aih 3

joshua 6

total 6-3=3

Answer 2

Given:

Time taken by Isaiah to paint a board = $3$ hours

Time taken by Joshua to paint a board = $6$ hours

To find:

Time taken to paint the board if they work together

Step-by-step explanation:

Isaiah's work in $1$ hour = $\frac{1}{3}$

Joshua's work in $1$ hour = $\frac{1}{6}$

Time taken to paint the board if they work together = $\frac13\;+\;\frac16$

LCM of $3,\;6$

⇒  $\frac26\;+\;\frac16$

⇒  $\frac26\;+\;\frac16$  = $\frac{3}{6}$

⇒  $\frac{1}{2}$

Answer:

If they work together, it will take $2$ hours to finish the job.