It takes Maria twice as long to complete a certain type of r

It takes Maria twice as long to complete a certain type of research project as it takes Judy to

do the same project. They both worked on a similar type of project and they finished in 1

hour. How long would each of them take to finish this project working alone?

It takes Maria twice as long to complete a certain type of research project as it takes Judy to

do the same project. They both worked on a similar type of project and they finished in 1

hour. How long would each of them take to finish this project working alone?

It takes Maria twice as long to complete a certain type of research project as it takes Judy to

do the same project. They both worked on a similar type of project and they finished in 1

hour. How long would each of them take to finish this project working alone?

Let

Time taken by Judy to complete the project be \"x\" hour

Therefore time taken by Maria to complete the same project be \"2x\" hour

Time taken to complete the project if both work together is 1 hour.

Workdone by Judy in 1 hour = 1 / x

Workdone by Maria in 1hour = 1 / 2x

Workdone if they work together in 1 hour = (1/x) + (1/2x)

= 2/2x + 1/2x

= 3/2x

Given that they need 1 hour to complete the task if they work together

Therefore Workdone if they work together in 1 hour = 100 % // 100% = 100/100

100/100 = 3/2x

1 = 3/2x

2x = 3

x = 3/2

Time taken by Judy to complete the project = 3/2 hours

Time taken by Maria to complete the project = 2x => 2 * (3/2) => 3 hours