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Boats And Streams
Quiz 1
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Q.1
On a river , Q is the mid - point between two points P and R on the same bank of the river. A boat can go from P to Q and back in 12 hours, and from P to R in 16 hours 40 minutes. How long would it take to go from R to P?
$${\text{3}}\frac{3}{7}$$ hr
5 hr
$${\text{6}}\frac{2}{3}$$ hr
$${\text{7}}\frac{1}{3}$$ hr
Q.2
A man takes 2.2 times as long to row a distance upstream as to row the same distance downstream. If he can row 55 km downstream in 2 hour 30 minutes, what is the speed of the boat in the still water?
40 km/h
8 km/h
16 km/h
24 km/h
Q.3
The speed of a boat along the stream is 12 km/hr and against the stream is 8 km/hr. The time taken by the boat to sail 24 km in still water is?
2 hrs
3 hrs
2.4 hrs
1.2 hrs
Q.4
A motorboat in still water travels at a speed of 36 km/hr. It goes 56 km upstream in 1 hour 45 monutes. The time taken by it to cover the same distance down the stream will be-
1 hour 24 minutes
2 hour 21 minutes
2 hour 25 minutes
3 hour
Q.5
If the speed of a boat in still water is 20km/hr and the speed of the current is 5km, then the time taken by the boat to travel 100 km with the current is?
2 hours
3 hours
4 hours
7 hours
Q.6
A man can row 6 km/hr in still water. If the speed of the current is 2 km/hr he takes 4 hours more in upstream than the downstream. The distance is?
30 km
24 km
20 km
32 km
Q.7
The speed of the boat in still water is 5 times that of current, it takes 1.1 hour to row to point B from point A downstream. The distance between point A and point B is 13.2 km. How much distance (in km) will it cover in 312 minutes upstrem?
43.2
48
41.6
44.8
Q.8
A man rows 12 km in 5 hours against the stream and the speed of current being 4 kmph. What time will be taken by him to row 15 km with the stream?
1 hour $${\text{27}}\frac{7}{{13}}$$ minutes
1 hour $${\text{24}}\frac{7}{{13}}$$ minutes
1 hour $${\text{25}}\frac{7}{{13}}$$ minutes
1 hour $${\text{26}}\frac{7}{{13}}$$ minutes
Q.9
The speed of a boat downstream is 15 km/hr and the speed of current is 3 km/hr. Find the total time taken by the boat to cover 15 km upstream and 15 km downstream.
2 hours 40 minutes
2 hours 42 minutes
2 hours 10 minutes
2 hours 30 minutes
Q.10
A man can row at a speed of $$4\frac{1}{2}$$ km/hr in still water. If he takes 2 times as long to row a distance upstream as to row the same distance downstream, then the speed of stream (in km/hr) is-
1
1.5
2
2.5
Q.11
A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in $$6\frac{1}{2}$$ hours. The speed of the current is?
1 km/hr
2 km/hr
1.5 km/hr
2.5 km/hr
Q.12
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
40 minutes
1 hour
1 hr 15 min
1 hr 30 min
Q.13
A man can row three-quarters of a kilometer against the stream in $$11\frac{1}{4}$$ minutes and down the stream in $$7\frac{1}{2}$$ minutes. The speed (in km/hr) of the man in still water is:
2
3
4
5
Q.14
P, Q and R are three towns on a river which flows uniformly. Q is equidistant from P and R. I row from P to Q and back in 10 hours and I can row from P to R in 4 hours. Compare the speed of my boat in still water with that of the river.
4 : 3
5 : 3
6 : 5
7 : 3
Q.15
A boat moves downstream at the rate of 1 km in $${\text{7}}\frac{1}{2}$$ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?
8 km/hour
$${\text{6}}\frac{1}{2}$$ km/hour
4 km/hour
$${\text{3}}\frac{1}{2}$$ km/hour
Q.16
A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is?
2 : 1
4 : 3
1 : 2
3 : 1
Q.17
A boat can tarvel 36 km upstream in 5 hours. If the speed of the stream is 2.4 kmph, how much time will the boat take to cover a distance of 78 km downstream?(in hours)
5 hours
6.5 hours
5.5 hours
8 hours
Q.18
A man can row upstream at 12km/hr and downstream at 18 km/hr. The man rowing speed in still water is?
15 km/hr
5 km/hr
3 km/hr
10 km/hr
Q.19
The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream at the same time, the speed of the stream is-
2 km/hr
2.5 km/hr
3 km/hr
4 km/hr
Q.20
A man row to a place 48 km distant and back on 14 hours text. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is?
1 km/hr
1.5 km/hr
1.8 km/hr
3.5 km/hr
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