Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 7 Answered

3 men and 4 women can finish a work in 12 days whereas 5 men and 4 women can complete the same work in 9 days . Find the ratio between the amount of work done by a man to a woman .
Asked by Sanjay | 26 Mar, 2017, 11:11: AM
answered-by-expert Expert Answer
begin mathsize 12px style The space straight a space man space do space straight x space units space in space one space day space and space straight a space woman space do space straight y space units space in space one space day. Since space 3 space men space and space 4 space women space can space finish space the space work space in space 12 space days comma so comma space 3 space men space and space 4 space women space can space finish space 1 over 12 th space part space of space the space work space in space 1 space day. rightwards double arrow 3 straight x plus 4 straight y equals 1 over 12 space.... left parenthesis straight i right parenthesis Since space 5 space men space and space 4 space women space can space finish space the space work space in space 9 space days comma so comma space 5 space men space and space 4 space women space can space finish space 1 over 9 th space part space of space the space work space in space 1 space day. rightwards double arrow 5 straight x plus 4 straight y equals 1 over 9 space.... left parenthesis ii right parenthesis Subtracting space equation space left parenthesis straight i right parenthesis space from space left parenthesis ii right parenthesis comma space we space get 2 straight x equals 1 over 9 minus 1 over 12 rightwards double arrow 2 straight x equals fraction numerator 4 minus 3 over denominator 36 end fraction rightwards double arrow 2 straight x equals 1 over 36 rightwards double arrow straight x equals 1 over 72 Substituting space in space left parenthesis straight i right parenthesis comma space we space get 3 open parentheses 1 over 72 close parentheses plus 4 straight y equals 1 over 12 rightwards double arrow 1 over 24 plus 4 straight y equals 1 over 12 rightwards double arrow 4 straight y equals 1 over 12 minus 1 over 24 rightwards double arrow 4 straight y equals fraction numerator 2 minus 1 over denominator 24 end fraction rightwards double arrow 4 straight y equals 1 over 24 rightwards double arrow straight y equals 1 over 96 Since space straight x equals 1 over 72 space and space straight y equals 1 over 96 comma space so comma space the space ratio space between space the space amount space of space work space done space by space straight a space man space and space woman space equals space fraction numerator 1 over 72 over denominator 1 over 96 end fraction equals 4 over 3 comma space that space is space 4 space colon space 3. end style
Answered by Rebecca Fernandes | 26 Mar, 2017, 10:38: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 7 - Maths
Express each of the following ratio as a per cent: 100:120.
Asked by sanjeev2000chaurasia | 08 Jan, 2024, 08:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
Cost of 37 toys is ₹192.40. How much will 31 toys cost?
Asked by sanjeev2000chaurasia | 02 Jan, 2024, 10:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
Which two consecutive even numbers have an LCM of 180?
Asked by Geetadevib9 | 02 Sep, 2021, 10:55: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
26/4*5/41*75/9*85  
Asked by shubhatasrivastava78.7cpsb | 16 May, 2021, 10:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
-3/4×15/7×7/9
Asked by savitatomar | 29 Oct, 2020, 07:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
find the ratio of the price of a ball to that of a shuttle cock when ball cost rupees 186 per dozen and shuttle rupees cock cost rupees 90
Asked by ajaysinghagra315 | 16 Oct, 2020, 12:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
what is rational number
Asked by prity.shiv.mg | 22 Aug, 2020, 03:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
2/3*1/5
Asked by neerajaraj18 | 29 Jul, 2020, 01:05: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
The product of two no is -81/91 if one of the no is -9/7 find the other no
Asked by sakthicb26102007 | 10 Mar, 2020, 08:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 7 - Maths
Divide 2/11and -12/33
Asked by dualg725 | 01 Feb, 2020, 12:16: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×