Question

A boat travels 50 km in 10 hours in upstream where 60 km in 4 hours in downstream find the speed of the stream

Answer 1

speed = distance/time

upstream:
50/10 = 5km/hr

downstream:
60/4 = 15km/hr

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Answer 2

Answer:

The speed of the stream is 5 km/hr.

Step-by-step explanation:

Given : A boat travels 50 km in 10 hours in upstream where 60 km in 4 hours in downstream.

To find : The speed of the stream?

Solution :

Relation of distance , time and speed is

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Let x be the speed in still water and y be the speed in the stream.

A boat travels 50 km in 10 hours in upstream.

Distance = 50 km

Time = 10 hours

Speed = x-y

$x-y=\frac{50}{10}$

$x-y=5$ .....(1)

A boat travels 60 km in 4 hours in downstream.

Distance = 60 km

Time = 4 hours

Speed = x+y

$x-y=\frac{60}{4}$

$x+y=15$ .....(2)

Solving equation (1) and (2) by adding them,

$x-y+x+y=5+15$

$2x=20$

$x=10$

Substitute in equation (1),

$10-y=5$

$y=5$

Therefore, The speed of the stream is 5 km/hr.