Request a call back

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

CBSE Class 10 Answered

Along a road lies an odd number of stones placed at intervals of 10 meters . These stones have to be assembled around the middle stone . A person can carry only one stone at a time . A man started the job with one of the end  stones by carrying them in succession . In carrying all the stones he covered a distance of 3 km .Find the number of stones.
Asked by shriya.pandey182 | 26 Mar, 2018, 12:15: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space total space number space of space stones space be space 2 straight n plus 1 space means space there space are space straight n space stones space to space the
middle space stone space on space both space sides.
As space man space starts space from space one space point comma space total space distance space travelled space by space him space to space collect
all space stone space to space the space middle space stone space is
4 open square brackets 10 cross times straight n plus 10 open parentheses straight n minus 1 close parentheses plus 10 open parentheses straight n minus 2 close parentheses plus 10 open parentheses straight n minus 3 close parentheses.... plus 10 cross times 1 close square brackets minus 10 straight n equals 3000
10 cross times open square brackets 4 open parentheses straight n plus straight n minus 1 plus straight n minus 2 plus straight n minus 3 plus..... plus 1 close parentheses minus straight n close square brackets equals 3000
open square brackets 4 cross times straight n over 2 open parentheses straight n plus 1 close parentheses minus straight n close square brackets equals 300
2 straight n open parentheses straight n plus 1 close parentheses minus straight n equals 300
2 straight n squared plus 2 straight n minus straight n minus 300 equals 0
2 straight n squared plus straight n minus 300 equals 0
2 straight n squared plus 25 straight n minus 24 straight n minus 300 equals 0
straight n open parentheses 2 straight n plus 25 close parentheses minus 12 left parenthesis 2 straight n plus 25 right parenthesis equals 0
open parentheses 2 straight n plus 25 close parentheses open parentheses straight n minus 12 close parentheses equals 0
straight n equals 12 space as space straight n space can space not space be space negative.
Total space number space of space stones space equals space 2 straight n plus 1 equals 25. end style
Answered by Sneha shidid | 26 Mar, 2018, 02:28: PM
CBSE 10 - Maths
Asked by kumarrishavsingh7 | 17 Oct, 2023, 12:37: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dixitayush414 | 04 Jan, 2023, 09:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by apal63216 | 02 Jan, 2021, 07:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by arindeep.singh | 10 Jul, 2020, 06:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pushpa.Kudle09 | 12 Mar, 2020, 12:37: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dastirthankar13 | 10 Mar, 2020, 08:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by drhimasingh | 26 Dec, 2019, 06:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×