Question

A boat travels 300m upstream in 15 mins. its speed downstream is 8/5 time its upstream . which of the following option is correct?

a.speed of current=12/10 of speed of boat
b.speed of current=3/13 of speed of boat
c.speed of current=9/13 of speed of boat; A boat travels 300m upstream in 15 mins. its speed downstream is 8/5 time its upstream . which of the following option is correct?; a.speed of current=12/10 of speed of boat; b.speed of current=3/13 of speed of boat; c.speed of current=9/13 of speed of boat

Answer 1

Answer:

speed of current=3/13 of speed of boat

b is the correct option.

Step-by-step explanation:

Let speed of the boat = x m/min

and speed of current = y m/min

Therefore, we have

Upstream speed = (x-y)

Downstream speed = (x+y)

Now, it has been given that boat travels 300 m upstream in 15 mins. Thus, we have the equation

$x-y=\frac{300}{15}\\\\x-y=20...(i)$

Now, the second condition is speed downstream is 8/5 time its upstream . Thus, the other equation is

$x+y=\frac{8}{5}\cdot(x-y)$

From equation (i)

$x+y=\frac{8}{5}\cdot20\\\\x+y=32....(ii)$

Now, add equation (i) and (ii)

2x=52

x = 26

Plugging this value in (i)

26-y=20

y = 6

Therefore, we have

speed of boat = 26 m/min

speed of current = 6 m/min

Now, we find the relation between these two speeds

$\frac{6}{26}\\\\=\frac{3}{13}$

Thus, we can conclude that

speed of current=3/13 of speed of boat

b is the correct option.

Answer 2

Answer:

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