Two towns sealand and beachland are on the banks of a river . Amit takes 13 hours to row and back . Sachin , who rows at twice Amit's speed, covers same distance in 6 hours. Find the ratio of Amit's speed to that of flow of river.
Answers
Answered by
0
speed of Amit wrt still water = v
speed of Sachin wrt still water = 2 * v (given)
let speed of river be = u
Let the distance between the two towns be = D
For Amit, D/(v+u) + D/(v-u) = 13 hrs
=> 2 D v = 13 (v² - u²) --- (1)
For Sachin : D/(2v - u) + D/(2v - u) = 6 hrs
=> 4 D v = 6 (4 v² - u²) ---- (2)
solve the two equations:
12 v² - 3 u² = 13 v² - 13 u²
v/u = √10
speed of Sachin wrt still water = 2 * v (given)
let speed of river be = u
Let the distance between the two towns be = D
For Amit, D/(v+u) + D/(v-u) = 13 hrs
=> 2 D v = 13 (v² - u²) --- (1)
For Sachin : D/(2v - u) + D/(2v - u) = 6 hrs
=> 4 D v = 6 (4 v² - u²) ---- (2)
solve the two equations:
12 v² - 3 u² = 13 v² - 13 u²
v/u = √10
Similar questions