a steamer goes downstream from one point to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed on the stream is 1kmph find the speed of the steamer in still water and the distance between the ports.
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Answers
Answer:
A steamer goes downstream. The distance between the two ports is 180 km.
Solution:
Let the speed of the streamer be ‘x’ and Distance be ‘D’
Given the speed of the stream is 1 km/hr.
Thus the downstream speed is given by ‘(x+1)’km/hr and the upstream speed is given by (x-1) km/hr.
Given that time taken to travel downstream is 9 hr
Therefore downstream distance = 9(x+1) …………..(Equation 1)
Again it is given that time taken to travel upstream is 10 hour.
Therefore upstream distance = 10(x-1) ……………(Equation 2)
Since distance is same in both cases, we equate the upstream distance and downstream distance.
9(x+1) = 10(x-1)
9x + 9 = 10x - 10
9 + 10=10x - 9x
x = 19
Now substituting the value of "x" in any of the equation 1 or 2, we get
D = 10(19-1) [Substituting the value of x in Equation 2]
D = 190-10 = 180
Thus, the distance between two ports is 180 cm
Answer:
HEY MATE
Step-by-step explanation:
HOPE MY ANSWER HELPS YOU
LET THE SPEED OF STREAMER BE X
GIVEN, THE SPEED OF STREAMER BE 1 KM/HR
SPEED DOWNSTREAM= X + 1
SPEED UPSTREAM = X - 1
TIME TAKEN DOWNSTREAM = 9 HOUR
TIME TAKEN UPSTREAM = 10 HOUR
LET THE DISTANCE BE D
DISTANCE DOWNSTREAM = 9 ( X+1)
= 9X+9
DISTANCE UPSTREAM = 10 (X-1)
= 10X-10
HERE IN SAME CASE
9X+9=10X-10
9+10=1OX-9X
19 KM/HR = X
DISTANCE= 10X-10
=10 (19)-10
= 190-10
= 180 KM
HOPE IT HELPS YOU