ledgred07
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*A raft is drifting from A to B in 6 hours. A motorboat goes
from A to B in 2 hours. If the speed of the raft is 3 mph, find the
speed of the motorboat in still water.

Respuesta :

Mcsage4

Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u

Speed of current = v

Let distance between A & B = 100 km

Time taken in downstream = 32 hours

u + v = 3.125 ------ (1)

Time taken in upstream = 48 hours

u - v = 2.084 ------- (2)

By solving equation (1) & (2)

u = 2.6045

v = 0.5205

Now the time taken by the un powered raft to cover this distance

Because un powered raft travel with the speed of the current.

T = 192.12 hr

Therefore the  time taken by the un powered raft to cover this distance is

T = 192.12 hr

Corsaquix

Answer:

[tex]6\text{ mph}[/tex]

Step-by-step explanation:

To find the the distance between A and B, use [tex]d=rt[/tex], where [tex]d[/tex] is distance, [tex]r[/tex] is rate/speed, and [tex]t[/tex] is time.

The raft travels from A to B in 6 hours at a rate of 3 mph. Thus, the distance from A to B must be:

[tex]d=3\cdot 6=18[/tex] miles.

Since the motorboat travels the same distance in 2 hours, its rate/speed must be:

[tex]18=2r,\\r=\frac{18}{2}=9\text{ mph}[/tex]

Because the raft is drifting, the speed of the current must be [tex]3\text{ mph}[/tex] in the direction of the raft (from A to B). Thus, let the motorboat's speed be [tex]m[/tex]:

[tex]m+3=9,\\n=\boxed{6\text{ mph}}[/tex]

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