148 Views

a man swim to and fro along the bank of a river with velocity v relative to water.If of flowis u the average speed of man is


Omkar 1st Nov, 2019
Answer (1)
ADITYA KUMAR Student Expert 1st Nov, 2019

Hello there!

Greetings!

It's quite easy,

We have ,velocity of the man in w.r.t. to river = v


velocity of the flow = u


Velocity of the man downstream = v + u


Velocity of the man downstream = v - u


Let the distance is d


Then


Time taken to travel the distance d downstream = d/(v+u)


time taken to travel the distance d ustreapm = d/(v-u)


Total time =d/(v+u) + d/(v-u) = 2vd/v^2-u^2

Now, Average speed = Total Distance/Total Time

= 2d/ (2vd/v^2-u^2)

=( v^2-u^2)/v


Thankyou

Related Questions

Amity University, Noida Law A...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
VIT Bhopal University | M.Tec...
Apply
M.Tech admissions open @ VIT Bhopal University | Highest CTC 52 LPA | Apply now
Amity University | M.Tech Adm...
Apply
Ranked amongst top 3% universities globally (QS Rankings).
Graphic Era (Deemed to be Uni...
Apply
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
Great Lakes PGPM & PGDM Admis...
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books