A boat goes downstream and covers the
distance between two ports in 4 hours. It
covers the same distance in 6 hours when it
goes upstream. If speed of boat is 5 km/h,
then find the speed of water.
Answers
Let the speed of water be x
speed while going downstream=speed of boat+speed of water
=5+x
time taken to go downstream =4 hrs
distance travelled =speed*time taken
=(5+x)*4
=20+4x speed while going upstream=speed of boat-speed of water
=5-x
time taken to go downstream =6 hrs
distance travelled =speed*time taken
=(5-x)*6
=30-6x
Since distance travelled is same in both cases
20+4x =30-6x
6x+4x=30-20
10x=10
x=10/10
x=1
speed of water=1 km/h
Answer:
Step-by-step explanation:
gn
time covered downstream = 4 hours
time covered in upstream = 6 hours
the speed of the boat is 5 km/h
solution
downstream
distance covered in one hour = 1(x+ 5)
distance covered in 4 hours = 4(x+2)
upstream
distance covered in one hour = 1(x-5)
distance covered in 6 hours = 6(x-5)
(the distance covered in 4 hours = the distance covered in 6 hours )
(x+2)4=(x−2)5
=> 44+8=5x−10
=> x=18 km/hr.