Vedant can row down stream 24 km in 2 hours and upstream 8 km in 2 hours.Find his speed of rowing in still water and the speed of current water.
Answer fast plz.
Answers
Step-by-step explanation:
x+y=24/2=>X+y=12
x-y=8/2=>x-y=4
Solving both equations,
X+y=12
x-y=4
---------
2x=8
X=4
Replace the value of X in any equation
then ,
X+y=12
4+y=12
y=12-4
y=8
Hope it will help you
• Let still water be x and current water be y.
Speed for downstream = (x + y) km
Speed for upstream = (x - y) km
CASE 1)
» Vedant can row down stream 24 km in 2 hours.
We know that
Speed = Distance/time
=> x + y = 24/2
=> x + y = 12 ________ (eq 1)
____________________________
CASE 2)
» Also, Vedant can row upstream 8 km in 2 hours.
Speed = Distance/time
=> x - y = 8/2
=> x - y = 4 _________ (eq 2)
______________________________
Add (eq 1) and (eq 2)
=> x + y + x - y = 12 + 4
=> 2x = 16
=> x = 8
Put value of x in (eq 1)
=> 8 + y = 12
=> y = 12 - 8
=> y = 4
_____________________________
• Speed for downstream = x + y = 8 + 4
=> 12 km/hr
• Speed for upstream = x - y = 8 - 4
=> 4 km/hr
• Speed in still water = 8 km/hr
• Speed in current water = 4 km/hr
___________ [ ANSWER ]
_____________________________