Fill up the swimming pool

Algebra Level pending

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool. (We assume that all large pumps are similar and all small pumps are also similar.)

1 hour 20 minutes 1 hour 30 minutes 1 hour 40 minutes 1 hour

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Jabbar Madwar
Jan 8, 2016

A. Let R and r the rate of work of the large and the small pumps respectively B. 4(2R + r) = 1 : 2 large and 1 small work for 4 hours to do 1 job C. 4(R + 3r) = 1 : 1 large and 3 small work for 4 hours to do 1 job D. T(4R + 4r) = 1 : Find time T if 4 large and 4 small are to do one job. E. Solve for R and r the system of first two equations then substitute in the third and solve for T to find the time. T = 5/3 hours = 1 hour 40 minutes.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...