CBSE Class 10 Answered
Two cars start together in the same direction from the same place. The first goes with uniform speed of 10km/hr. The second goes at a speed of 8km/hr in the first hour and increases its speed by 1/2 km/hr each succeeding hours. After how many hours will the second car overtake the first, if both cars go non stop?
Asked by rushabh123 | 17 Feb, 2019, 08:20: PM
Expert Answer
Let the second car meets the first car after n hours.
second car starts with 8km/hr. After succeeding hours its speed increases by 0.5 km
Then distance travelled by second car = 8 + 8.5 + 9.0 +................8+(n-1)0.5 ................................(1)
eqn.(1) sum of n terms of Arithmetic progression with first term 8 and common difference 0.5
sum of all the terms in eqn.(1) is also equals to the distance travelled by first car for n hours, i.e., 10n km
hence we have, (n/2) [ 16 + (n-1)0.5 ] = 10 n .................(2)
from eqn.(2), we get n = 9.
Hence both the car will meet after 9 hours.
Answered by Thiyagarajan K | 17 Feb, 2019, 08:33: PM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by yalagondanikhil | 16 Apr, 2024, 12:25: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by rrajansinghakb199 | 08 Apr, 2024, 05:12: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 01:42: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mraniruddha03 | 02 Apr, 2024, 06:44: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by muttenenimalleswarrao | 29 Mar, 2024, 08:32: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mustafahssn786 | 23 Mar, 2024, 06:25: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by choudharyniki001 | 22 Mar, 2024, 08:49: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by jagdishdabang79 | 18 Mar, 2024, 08:40: PM
ANSWERED BY EXPERT