Ask a Doubt
Request a call back

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

CBSE Class 10 Answered

a car travels a certain distance with  a certain speed.
if it had traveled 263646473.556596 km/hour faster it would have reached the destination 6364.356357 hours earlier but if it had traveled 446436.6466834 km/hour slower then it would be 645464.564563 hours late. What is its original speed and distance and time taken?
Asked by jeel katira | 21 Apr, 2015, 11:07: PM
answered-by-expert Expert Answer
L e t space a equals 263646473.556596 space k m divided by h r b equals 446436.6466834 space k m divided by h r c equals 6364.356357 space h r d equals 645464.564563 space h r L e t space t h e space o r i g i n a l space s p e e d space b e space V space a n d space o r i g i n a l space t i m e space t a k e n space b e space T. space T h e space t o t a l space d i s tan c e space t r a v e l l e d space b e space S. i f space i t space h a d space t r a v e l e d space a equals 263646473.556596 space k m divided by h o u r space f a s t e r space i t space w o u l d space h a v e space r e a c h e d space t h e space d e s t i n a t i o n space c equals 6364.356357 space h o u r s space e a r l i e r S o space a s space p e r space t h e space q u e s t i o n comma S equals left parenthesis V plus a right parenthesis left parenthesis T minus c right parenthesis.... left parenthesis 1 right parenthesis S i m i l a r l y comma space i f space i t space h a d space t r a v e l e d space b equals 446436.6466834 space k m divided by h o u r space s l o w e r space t h e n space i t space w o u l d space b e space d equals 645464.564563 space h o u r s space l a t e. space S o comma S equals left parenthesis V minus b right parenthesis left parenthesis T plus d right parenthesis.... left parenthesis 2 right parenthesis S equals V T.... left parenthesis 3 right parenthesis F r o m space left parenthesis 1 right parenthesis space a n d space left parenthesis 3 right parenthesis space w e space g e t space left parenthesis V plus a right parenthesis left parenthesis T minus c right parenthesis equals V T.... left parenthesis 4 right parenthesis F r o m space left parenthesis 2 right parenthesis space a n d space left parenthesis 3 right parenthesis space w e space g e t space left parenthesis V minus b right parenthesis left parenthesis T plus d right parenthesis equals V T.... left parenthesis 5 right parenthesis S i m p l i f y i n g space left parenthesis 4 right parenthesis space w e space g e t space minus V C plus a T minus a c equals 0... left parenthesis 6 right parenthesis S i m p l i f y i n g space left parenthesis 5 right parenthesis space w e space g e t V d minus b T minus b d equals 0... left parenthesis 7 right parenthesis E l i m i n a t i n g space apostrophe T apostrophe space f r o m space left parenthesis 6 right parenthesis space a n d space left parenthesis 7 right parenthesis space w e space g e t V equals fraction numerator a b left parenthesis c plus d right parenthesis over denominator a d minus b c end fraction S i m i l a r l y space e l i m i n a t i n g space apostrophe V apostrophe space f r o m space left parenthesis 6 right parenthesis space a n d space left parenthesis 7 right parenthesis space w e space g e t T equals fraction numerator c d left parenthesis a plus b right parenthesis over denominator a d minus b c end fraction N o w space u sin g space t h e space v a l u e s space o f space a comma space b comma space c space a n d space d comma space w e space g e t space T equals 6364.46262 space h r V equals 450 comma 846.0918 space k m divided by h r S equals V T almost equal to 2 comma 869 comma 393 comma 099 space k m
Answered by satyajit samal | 22 Apr, 2015, 11:10: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
trigonometry
question image
Asked by vk952384 | 09 Mar, 2024, 11:34: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
tanA =cotB find A+B=?
Asked by ankitakulhar075 | 03 Apr, 2022, 08:43: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If cos(90 - A ) = 0 then sin( A + B ) =
Asked by arunpattu22 | 11 Jun, 2021, 11:21: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
SHOW THAT cos 38°cos 52°- sin 38°sin 52° =0
Asked by debasreepartha | 23 Apr, 2021, 08:38: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if cos (40°-X)=30sin find the value of X
Asked by lavanyasureshkumar | 24 Aug, 2020, 04:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
evaluate cot (90-theta) -tan theta
Asked by meenakshisrinivas4 | 20 Apr, 2020, 12:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Evaluate cos48°cos42°–sin48°sin42°
Asked by Maharanam446 | 22 Jan, 2020, 01:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Evaluate cot 12 cot 38 cot 52 cot 60 cot 78
Asked by sadhanapatil494 | 13 Jan, 2020, 08:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If A and B are acute in right angled ABC, then sin2 A + sin2 B =
Asked by preetisonips22 | 04 Jan, 2020, 05:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If tan 7theta=cot(5theta–30degree),both angles are acute angles,find the value of theta
Asked by shethdhrumil0 | 20 Dec, 2019, 12:09: 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
×