Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

Anyone good at work problems?

OpenStudy (anonymous):

- I have few questions to ask :)

OpenStudy (anonymous):

?

OpenStudy (anonymous):

Just type your questions here and people will try and answer them.

OpenStudy (anonymous):

Yup I will right now

OpenStudy (anonymous):

A pump can fill a tank in 6 hours. Another pump can fill the same tank in 3 hours. How much time will it take to fill the tank if both pumps work together?

OpenStudy (anonymous):

1.5 hours

OpenStudy (anonymous):

& how did you get that? please i'm not here for answers! I have an exam tmrw & I need to know how to do them :)

OpenStudy (wasiqss):

dhash i guess its wrong

OpenStudy (amistre64):

how much is filled in one hour by both pumps?

OpenStudy (wasiqss):

answer is 2 hour

OpenStudy (amistre64):

1/6 filled + 1/3 filled = how much filled in an hour?

OpenStudy (anonymous):

1st pipe DATA: time = 6 hr/job ; rate = 1/6 job/hr 2nd pipe DATA: time = 3 hr/job ; rate = 1/3 job/hr Together DATA: time = x hr/job ; rate = 1/x job/hr 1/x=1/3+1/6=3/6=1/2 =>x=2 so it will take 2 hours

OpenStudy (anonymous):

1/6+2/6= 3/6 = 1/2 ?

OpenStudy (anonymous):

ya

OpenStudy (anonymous):

2 hours is the right answer.

OpenStudy (amistre64):

the tank is half full after an hour, another hour makes it filled all the way

OpenStudy (anonymous):

/- fraction

OpenStudy (amistre64):

the key is to find out how much work is done in a single unit of time (hour, second, week, etc)

OpenStudy (amistre64):

and extrapulate from that a full load

OpenStudy (anonymous):

Why did you change it to 1/6 and 1/3 ?

OpenStudy (wasiqss):

suppose if the capacity of tank is 12 litres, and pump one fills the tank in 6 hour , it means filling rate is 2 litres per hour. And take second tank, if it fills in 3 hours, it means its filling rate is 4 litres per hour. Hence it means that if their filling capacity combine we will have a rate of 6 litres per hours. As the capacity is 12 litres, hence it wud b filled in 2 hour

OpenStudy (amistre64):

if it takes 6 hours to fill; then in one hour, only 1/6 is filled

OpenStudy (anonymous):

in order to consider the work

OpenStudy (wasiqss):

i think this explanation will do it

OpenStudy (amistre64):

if it takes 3 hours to fill, then in one hour its only 1/3 full

OpenStudy (amistre64):

1/6 full + 1/3 full = 1/2 full

OpenStudy (anonymous):

& how did 1/2 came to 2 hours ?

OpenStudy (amistre64):

how many halves make a whole?

OpenStudy (amistre64):

1hour + 1hour = 2 hours 1/2 1/2 1

OpenStudy (anonymous):

Aooo! Okay thank you :)

OpenStudy (anonymous):

In other words work done is direct proportional to the time.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!