BOAT AND STREAMS SOLVED PROBLEMS 1

1. 2 km/h

2. 4 km/h

3. 5 km/h

4. 3 km/h

3 km/h

let the speed of river be s

If the total distance 60 then upstream and downstream would be 30 each

so upstream time is 30/18-s=2

solving we get s=3 km/h

1. 7 km

2. 8 km

3. 6 km

4. 12 km

6 km

let the distance be d

upstream time is d/4-2

downstream time d/4+2

total time is 4 hours

d/(4-2) +d/(4+2)=4

solving we get d= 6 km

1. 8 hrs

2. 9 hrs

3. 18 hrs

4. 12 hrs

8 hrs

The distance be d

speed of boat is d/4

speed of the stream is d/8

time taken=distance/time

time=d/(d/4-d/8)

time is 8 hrs

1. 14 km

2. 12 km

3. 15 km

4. 16 km

16 km

let us assume the speed of river to be s

speed of boat is 2s

time taken should be 2x2s=4s

upstream time=d/2s-s

4s=d/(2s-s)

we know that s=2 km/h

so now solving we get d=16 km

1. 6 km/h

2. 5 km/h

3. 8 km/h

4. 5.5 km/h

5 km/h

total distance is 32 km so one way distance is 16 km

let the speed of the boat be b

upstream time=16/b-1=4

b=5 km/h

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