Ask a Doubt
Request a call back

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

CBSE Class 9 Answered

After covering a distance of 30km. With a uniform speed there is some defect in a train enzine and therefore its speed is reduced to 4/5 of its original speed consiquetely the train reaches its destination late by 45 minutes had it happened after covering 18 km. More the train would have reached 9 minutes earlier find the speed of train and distance of journey
Asked by Ankujsingla | 26 Sep, 2018, 01:32: PM
Expert Answer
Let,
the speed of the train = x km/hr
the total distance covered by the train = y km
begin mathsize 16px style rightwards double arrow Original space time space taken space to space reach space the space destination space equals space straight y over straight x hrs Reduced space speed space of space the space train space equals space fraction numerator 4 straight x over denominator 5 end fraction km divided by hr end style
According to the first  condition, we get
 
Time taken at original speed + time taken at reduced speed = original time taken + 45 minutes
begin mathsize 16px style rightwards double arrow 30 over straight x plus space fraction numerator left parenthesis straight y minus 30 right parenthesis over denominator open parentheses begin display style 4 over 5 end style straight x close parentheses end fraction equals space straight y over straight x plus space 45 over 60 after space solving comma space we space get rightwards double arrow straight y space minus space 3 straight x space equals space 30 space space space space............ left parenthesis straight i right parenthesis end style
 
According to the second condition, we get
begin mathsize 16px style rightwards double arrow 48 over straight x plus fraction numerator left parenthesis straight y space minus space 48 right parenthesis over denominator open parentheses begin display style 4 over 5 end style straight x close parentheses end fraction space equals space straight y over straight x space plus space 36 space After space solving comma space we space get 5 straight y space minus space 12 straight x space equals space 240 space..... left parenthesis ii right parenthesis Solve space equation left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space simultaneously comma space we space get straight x space equals space 30 space and space straight y space equals space 120 Therefore space the space original space speed space of space the space train space equals space 30 space km divided by hr space and space the space length space of space the space journey space equals space 120 km end style
 
 
Answered by Yasmeen Khan | 27 Sep, 2018, 12:52: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
M is a point inside a square ABCD. AMCD is equilateral triangle and MC cuts diagonal DB at E. Then, ZBEC=..... (1) 75° (3) 105° (2) 90° (4) 60°
Asked by Krishna962511 | 23 Jan, 2023, 10:41: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
(a+b+c)^3
Asked by kbalanbiju | 18 Jan, 2023, 07:16: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
nh
Asked by poonam.sps.2008 | 18 Jan, 2023, 06:26: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
find value
Asked by pushpadevipushpadevi19 | 13 Jan, 2023, 08:06: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Simplify: (9/16)^3/2×(36/49)^5/2+(343/216)^-5/3
Asked by harisinhapala0 | 11 Jan, 2023, 05:21: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Observations of a raw data are 5,28,15,10,24. Add four more numbers so that mean and median of the data remain the same, but mode increases by 1.
Asked by 16presa1186 | 09 Jan, 2023, 07:55: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Class 9 Srijan Mathematics Ex-3.3 Q10 (a,b) Ans- 10/a -. 144 10/b -. -105/4 please Show All The Process
Asked by anikk659 | 08 Jan, 2023, 03:41: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
the diameter of moon is approximately one-fourth of the diameter of the earth.what fraction of the volume of the earth is the volume of the moon?
Asked by rajeshporwal02 | 07 Jan, 2023, 07:38: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
plz answer urgently dear experts lines and angles question :
Asked by savitamahajan202 | 02 Jan, 2023, 10:55: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
To find formula for the curved serface area of right circullar cylender expermentally
Asked by lalchandkundara17 | 30 Dec, 2022, 08:44: AM
ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get FREE Sample Mock Papers for Final Exams
Download Now
×