# im totally clueless?

john and peter, ages 11 and 13, were given a job to do at 9am. working alone, john can do the job in 5 hrs, and peter in 4 hrs. at 10am they went swimming until 1:30, then came back and finished the job. at what time did they finish it?

Relevance

Working alone, John can do the job in 5 hrs, and Peter in 4 hrs.

=> John can do 1/5 of the work in 1 hour and

Peter can do 1/4 of the work in one hour.

So both together will do

(1/5 + 1/4) of the job in one hour (=60 minutes)

1/5 + 1/4 = (4+5)/20 = 9/20

=> 9/20 of the job in 60 minutes

9/20 ·x = 60

9x = 60·20

x = 60·20/9

x = 400/3

x = 133 1/3

This means they can both together finish the job in 133 1/3 minutes which is 2 hours, 13 minutes and 20 seconds.

They worked for 1 hour from 9am till 10am. When they came back from swimming at 1:30, they still had 1 hour, 13 minutes and 20 seconds of work to do.

Therefore they finished the job at

2:43 and 20 seconds pm

Hope this helps.

(EDIT)

OMKAR is NOT RIGHT because .23 hours does not equal 23 minutes. An hour has 60 minutes, not 100!

• Working together, they need 2 hours and 13 1/3 minutes.

This is how that is determined:

John works at 5 hours per job, Peter at 4 hours per job.

So, John works at 1/5 jobs per hour and Peter and 1/4 jobs per hour.

So, to make this an algebra problem, let X equal the number of hours they need to work together to complete 1 job:

1/5 X + 1/4 X = 1 job

4/20 X + 5/20 X = 1 job

9/20 X = 1 job

therefore, X = 2 2/9 hours or 2 hours and 13 1/3 minutes

So, if they started at 9am, took 3.5 hours off in the middle, they would complete in 5 hours 43 1/3 minutes total, or at clock time of 43 1/3 minutes past 2pm.

Source(s): I have a math degree and teach college calc
• John at 6:30 Peter at 5:30 I guess

• HERE!, chill friend

Take a deep breadth and cool down, my answer is quite simple

Its simple,

(first you should know that we assume total work to be '1')

A/C to question,

john does the work alone in 5 hours,

so the work done by john in an hour will be 1/5

Peter does the work in 4 hours

So, the work he does in an hour is 1/4

They had started the work at 9 and stopped at 10

so they did some work for an hour

The work done by both of them in an hour,

= 1/5 +1/4

= 9/20

We know the total work is "1"

so the work that is left is 1 - 9/20

They again start working at 1.30

They can do 9/20 of the work in one hour,

So, the time they'll take to complete the left work(1- 9/20)

=(1 - 9/20)/9/20

9/20 = 0.45

= (1 - 0.45)/ 0.45

=1.2222222222222222...............

= 1.23 (approximately)

We can even express it like this:

let J be the work done by john in one hour

and P be the work done by peter in one hour

and T be the time taken to complete the remaining work

So,

(J+P) + T(J + P) = 1

=>(1 + T) ( J + P ) = 1

But we know J + P = 9/20

=>(1 + T) = 20/9

=>T= 20/9 -1

T = 1.222222222222222....

T = 1.23 (approximately)

so the answer is (1.30 + 1.23)hours

= 2.53 pm

(you also have to note that no work is done when they were swimming)

AND I AM RIGHT