Water is leaking from a tap at a rate of x cm³/min. (a) Write down an expression for the time taken to collect 50 cm of water. (b) When the tap is tightened, the water leaks at 3 cm/min less. Write down an expression for the time taken to collect the same amount of water. (c) The difference between the two times is 1.5 minutes. Form an equation in x and show that it reduces to x-3x-100 = 0.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
Water is leaking from a tap at a rate of x cm³/min.
(a) Write down an expression for the time taken to collect 50 cm³ of water.
(b) When the tap is tightened, the water leaks at 3 cm/min less. Write down an
expression for the time taken to collect the same amount of water.
(c) The difference between the two times is 1.5 minutes. Form an equation in x and
show that it reduces to x-3x-100 = 0.
(d) Solve this equation, giving your answers correct to 1 decimal place.
(e) Hence, find the time taken to collect 50 cm of water, correct to the nearest second,
before the tap is tightened.
Transcribed Image Text:Water is leaking from a tap at a rate of x cm³/min. (a) Write down an expression for the time taken to collect 50 cm³ of water. (b) When the tap is tightened, the water leaks at 3 cm/min less. Write down an expression for the time taken to collect the same amount of water. (c) The difference between the two times is 1.5 minutes. Form an equation in x and show that it reduces to x-3x-100 = 0. (d) Solve this equation, giving your answers correct to 1 decimal place. (e) Hence, find the time taken to collect 50 cm of water, correct to the nearest second, before the tap is tightened.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning