Ask a Doubt
Request a call back

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

Maharashtra Class 10 Answered

The forewheel of a tractor makes 120 revolutions more than the rear wheel in going 730 m. If the diameter of the firewheel is doubled and the diameter of the rear wheel is increased by 1intiger 1/2 times the present diameter, then the forewheel makes 20 revolutions more than the rear wheel in going the same distance Find the circimference of each wheel.
Asked by patangeojas | 16 Dec, 2018, 09:48: PM
answered-by-expert Expert Answer
Let Forewheel diameter is d m and rear-wheel diameter is D m.
To cover 730 m, number of revolutions made by forewheel = begin mathsize 12px style fraction numerator 730 over denominator pi d end fraction end style ;
To cover 730 m, number of revolutions made by rear-wheel = begin mathsize 12px style fraction numerator 730 over denominator pi D end fraction end style ;
we are given that,  begin mathsize 12px style fraction numerator 730 over denominator pi d end fraction end style - begin mathsize 12px style fraction numerator 730 over denominator pi D end fraction end style = 120  or begin mathsize 12px style 1 over d space minus space 1 over D equals fraction numerator 120 straight pi over denominator 730 end fraction end style......................(1)
forewheel diameter is doubled, hence changed diameter of forewheel = 2d  m
rear-wheel diameter is changed to 1½ times the initial value, hence changed diameter of rear-wheel = (3/2)D  m
 
after change, forewheel revolves 20 revolutions more than rear-wheel.
Hence  begin mathsize 12px style fraction numerator 1 over denominator 2 d end fraction space minus space fraction numerator 2 over denominator 3 D end fraction equals fraction numerator 20 straight pi over denominator 730 end fraction end style ....................(2)
By solving (1) and (2), we get begin mathsize 12px style 1 over D space equals space fraction numerator 240 straight pi over denominator 730 end fraction space a n d space 1 over d equals fraction numerator 360 straight pi over denominator 740 end fraction end style
Hence diameter of forewheel  d = begin mathsize 12px style fraction numerator 730 over denominator 360 straight pi end fraction space equals space fraction numerator 2.03 over denominator straight pi end fraction space space m end style  and diameter of rear-wheel  D = begin mathsize 12px style fraction numerator 730 over denominator 240 straight pi end fraction space equals space fraction numerator 3.04 over denominator straight pi end fraction space m end style
Circumference of forewheel = πd = 2.03 m ; Circumference of rear-wheel = πD = 3.04 m
Answered by Thiyagarajan K | 18 Dec, 2018, 01:47: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
Maharashtra 10 - Maths
Please answer fasttttt For an A.P., t7 = 4 and d = -  4, then a = .......... A) 6 B) 7  C) 20  D) 28  
Asked by topperlearningforcontent | 13 Mar, 2024, 04:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
What is polynomial 
Asked by rjadhav14008 | 06 Sep, 2023, 01:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
I want all formulaes
Asked by saijagdale9 | 06 Oct, 2022, 05:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
x2 + 4x -5 =0
Asked by pashte.shilpa | 13 Jul, 2022, 04:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
i need mcq qestion plz beoz my exam is tommarow  
Asked by fantom78788 | 30 Jul, 2020, 08:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
Alpha-bita=3,alpha^3+beta^3=189,fin f quadratic equation
Asked by kalyanichoudhari42.10ptl | 28 May, 2020, 01:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
Show that x=-1 is a tangent to circle x^2+y^2-2=0 at(-1,1)
Asked by Mangalgerenuka | 25 Feb, 2020, 11:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
7x+8y=26;4x+5y=14
Asked by ptanisha | 21 Feb, 2020, 08:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
out of 1900km, vishal travelled some distance by bus and some by areoplane. bus travels with average speed of 60km/hr  and the average of areoplane 700 km/hr . it takes 5 hours to complete the journey.find the distance , vishal travelled by bus
Asked by kartikghuge2004 | 08 Feb, 2020, 12:53: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Maharashtra 10 - Maths
Three horses A, B and C are in race. A is twice as likely to win  as B and B is twice as likely to win as C. what are their probabilities of wining if P(A)+P(B)+P(C) = 1
Asked by Bhawna | 01 Feb, 2020, 11:04: PM
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
×