Question

Hey!

Question is in the attachment. Please solve it step-by-step with proper explanation.

No spam please and give a good answer :).​

Answer 1

We are given that the streamer covers same distance between two places but it takes 5 hours in downstream and 6 hours in upstream. Also, speed of the stream is given 1 km/hr.

We have to find the speed of the streamer in still water.

_____...

Let the speed of the streamer in still water be = x km/hr

(Distance = Constant)

Downstream:-

Time taken = 5 hr

Speed of the streamer = 1 km/hr

Thus, overall speed in this case = (x + 1) km/hr

(In downstream)

Since,

Distance = (Speed)(Time)

Therefore,

Distance = 5(x + 1) km

Upstream:-

Time taken = 6 hr

Speed of the streamer = 1 km/hr

Thus, overall speed in this case = (x - 1) km/hr

(In upstream)

Thus,

Distance = 6(x - 1) km

We have discussed earlier that distance will remain constant,

Therefore,

5(x + 1) = 6(x - 1)

→ 5x + 5 = 6x - 6

→ 5x - 6x = - 6 - 5

→ - x = - 11

→ x = 11 km/hr. (Answer).

Now, check if the LHS is equal to RHS or not. By my calculation, it is showing 60 km in both the sides. Put the value of (x) in equation.

Answer 2

$\sf\orange{ <u>ANSWER</u> :- }$

x = 11 km/hr

$\sf\orange{ <strong>STEP</strong> \: BY \: STEP \: EXPLANATION :- }$

$\sf\blue{ LET - }$

the speed of the streamer in still water = x km/hr

$\sf\blue{ GIVEN - }$

the speed of the stream is 1 km/hr

$\sf\blue{ SOLUTION - }$

⟹ Speed downstream = x + 1 km/hr

⟹ Time taken = 5 hr

★ Distance = speed × time

Distance = 5 ( x + 1 )

Distance = 5x + 5 ............ (1)

⟹ Speed upstream = x − 1 km/hr

⟹ Time taken = 6 hr

★ Distance=speed × time

Distance = 6 ( x − 1 )

Distance = 6x − 6 ............ (2)

From (1) and (2),

➜ 6x − 6 = 5x + 5

➜ 6x − 5x = 5 + 6

➜ 1x = 11

➜ x = 11 / 1

➜ x = 11 km/hr