Question

A man covers 118 km by a boat travelling 4hours downstream and hours upstream. He also covered 130 traveling 5hours downstream and 2hours upstream. Find the speed of the boat in still water and speed of the water .In the linear equation method

Answer 1

The speed of the boat in still water is 6 km/hr and speed of the water is 29.33 km/hr.

Step-by-step explanation:

Since we have given that

Let the speed of the boat in still water be 'x'.

Let the speed of the water be 'y'.

Speed of downstream = x+y

Speed of upstream = x-y

A man covers 118 km by a boat travelling 4hours downstream and hours upstream is expressed as

$4(x+y)+1(x-y)=118\\\\4x+4y+x-y=118\\\\5x+3y=118-------------------------(1)$

Similarly,

$5(x+y)+2(x-y)=130\\\\5x+5y+2x-2y=130\\\\7x+3y=130------------------------(2)$

Now, from (1) and (2), we get that

$5x+3y=118\\\\7x+3y=130\\\\------------------------------------------\\\\-2x=-12\\\\x=6$

and the value of y would be

$5x+3y=118\\\\5\times 6+3y=118\\\\30+3y=118\\\\3y=118-30\\\\3y=88\\\\y=29.33$

Hence, the speed of the boat in still water is 6 km/hr and speed of the water is 29.33 km/hr.

# learn more:

A boat covers 32 Km upstream and 36 Km downstream in 7 hours.

Also, it covers 40 Km upstream and 48 Km downstream in 9 hours.

The speed of the boat in still water is :​

https://brainly.in/question/10100695