Question

(XXV) A rowboat is travelling downstream a river in
which the water current is 1 m/s. 2.8 km away.
a steamboat is chugging upstream 6 m/s faster
than the rowboat. If the two boats cross each
other after 3 minutes 20 seconds, what was the
speed of the rowboat?​

Answer 1

Answer:

Let the speed of boat in still water be x km/h

Now

In Upstream, we know that

Speed of Boat = Speed of boat in still water - speed of river current

∴ Speed of boat in upstream = x - 5

Distance in upstream = 8 km

∴ Time taken in upstream = 8/(x-5)     [Time = distance/speed] --- ( i )

In Downstream

Speed of boat = Speed of boat in still water + speed of river current

∴ Speed of boat in downstream = x + 5

Distance = 12 km

∴ Time taken in downstream = 12/(x + 5) --- ( ii )

According to question

Time taken in upstream = time taken in downstream

∴ Eq ( i ) = Eq ( ii )

8 ( x + 5) = 12 ( x - 5 )

8x + 40 = 12x - 60

4x = 100

x = 25

∴ Speed of boat in still water is 25km/h

Answer 2

Answer:

Rowboat: Let speed its speed be (x) m/s

speed of water =1m/s

so speed of rowboat downstream =(x+1)m/s

Steamboat:speed of steamboat =(x+6)m/s

so speed of steamboat upstream=(x+5)m/s

Given data: distance between them=2800m

the two boats cross each other=200s

Speed of Rowboat =(x+1)m/s

Speed of steamboat =(x+5)m/s

rowboat take Time=200s

Steamboat take time=200s

distance of rowboat =200(x+1)m

distance of steamboat=200(x+5)m

Total distance =2800

200(x+1)+200(x+5)=2800

x=4m/s

The speed of the rowboat=4m/s

Step-by-step explanation:

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