Get an answer in 5 minutes

Ask a question to our educators
MATHS

# A swimming pool cam be filled by one hose in x days or by a different sized hose in y days. It can be filled using both hoses together in m days.Find a formula for m in terms of x and y, in its simplest form?

Let Volume of pool be V and flow rate of first hose be R1 For first hose we then get V=(R1)(x) Let flow rate of second hose be R2 For second hose we get equation V=(R2)(y) (same volume V to be filled) Using both hoses, the flow rate then become (R1+R2), with time m days So equation 3 is V=(R1+R2)m Substituting equation 1 and 2 into 3 for R1 and R2 we get V=((V/x)+(V/y))m Cancel out V (only possible because V not equal to 0) 1=((1/x)+(1/y))m So final answer gives relationship 1/m = 1/x + 1/y Hope that helps! ~Joe

Joseph Guillon
·

845 students helped

Maths

3n+4

Maths

2x+6=7x-14

## What is Q&A on Scoodle?

At Scoodle we understand that everyone learns in a different way. Some people learn through practice, using essays and notes; others prefer video lessons to watch and learn, some just need help with a specifically hard question, while some learn best 1-on-1 tutoring sessions. At Scoodle we cater for all types of learning styles and needs. From GCSE Maths video lessons to A-level English essays and specialist educators in every subject - we’ve got you covered.

Scoodle has helped over 131,000 students so far

Need help with Maths?

Getting expert help from a tutor is a great way to improve your Maths grades.

## Discover learning resources by tutors

Learn Maths with Video Lessons
1hr 28m · 8 videos
Paja Kruzikova
·

696 students helped

GCSE Maths - Numbers
28m · 3 videos
Iqbal Lokman
·

1.5k students helped

1hr 32m · 9 videos
Paja Kruzikova
·

696 students helped

GCSE Maths - Ratios
56m · 6 videos
Paja Kruzikova
·

696 students helped

GCSE Maths - Algebra A
1hr 14m · 7 videos
Paja Kruzikova
·

696 students helped

GCSE Maths - Algebra B
1hr 27m · 9 videos
Paja Kruzikova
·

696 students helped

GCSE Maths - Algebra C