Quantitative Aptitude - Boats and Streams - Formula & Concept Quiz

A man can row at 8 kmph in still water. If the river is running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place?

• 1]

  1 Km

• 2]

  2 Km

• 3]

  3 Km

• 4]

  4 Km

a man can row 8 km/hr in still water and he find that it takes thrice as long to row upstream as to row downstream to the same point. What is the speed of the current?

• 1]

  1 kmph

• 2]

  2 kmph

• 3]

  3 kmph

• 4]

  4 kmph

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

• 1]

  2 hours

• 2]

  3 hours

• 3]

  4 hours 

• 4]

  5 hours

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

• 1]

  8.5 km/hr

• 2]

  9 km/hr

• 3]

  10 km/hr

• 4]

  12.5 km/hr

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

• 1]

  2:1

• 2]

  3:2

• 3]

  8:3

• 4]

  None Of These

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

• 1]

  4

• 2]

  5

• 3]

  6

• 4]

  10

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

• 1]

  3 km/hr

• 2]

  5 km/hr

• 3]

  8 km/hr

• 4]

  9 km/hr

There is a road beside a river. Two friends started from a place A moved to a temple situated at another place B and then returned to A again. One of them moves on a cycle at a speed of 12 km/hr, while the other sails at a speed of 10km/hr. If the river flows at a speed of 4km/hr, which of the two friends will return to place A first.

• 1]

  7.4 km/h

• 2]

  8.4 km/h

• 3]

  2.3 km/h

• 4]

  8.6 km/h

A man can row three quarters of a kilometers against the stream in 11 1/4 minutes and return in 7 1/2​ minutes.The speed of the man in still water is

• 1]

  2 km/h

• 2]

  3 km/h

• 3]

  4 km/h

• 4]

  5 km/h

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

• 1] 2 hours
• 2] 3 hours
• 3] 4 hours
• 4] 5 hours
• 5] None of these

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

• 1] 8.5 km/hr
• 2] 9 km/hr
• 3] 10 km/hr
• 4] 12.5 km/hr
• 5] None of these

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

• 1] 2 : 1
• 2] 3 : 2
• 3] 8 : 3
• 4] Cannot be determined
• 5] None of these

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

• 1] 4 km/hr
• 2] 5 km/hr
• 3] 6 km/hr
• 4] 10 km/hr

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

• 1] 3 kmph
• 2] 5 kmph
• 3] 8 kmph
• 4] 9 kmphr

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

• 1] 4 kmph
• 2] 6 kmph
• 3] 8 kmph
• 4] Data inadequate
• 5] None of these

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:

• 1] 1.2 km
• 2] 1.8 km
• 3] 2.4 km
• 4] 3.6 km
• 5] None of these

A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

• 1] 2 mph
• 2] 2.5 mph
• 3] 3 mph
• 4] 4 mph
• 5] None of these

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

• 1] 2.4 km
• 2] 2.5 km
• 3] 3 km
• 4] 3.6 km
• 5] None of these

A boat covers a certain distance downstream in 1 hour, while it comes back in \(1\frac{1}{2}\) hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

• 1] 12 kmph
• 2] 13 kmph
• 3] 14 kmph
• 4] 15 kmph
• 5] None of these

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?

• 1] 40 minutes
• 2] 1 hour
• 3] 1 hr 15 min
• 4] 1 hr 30 min

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:

• 1] 2
• 2] 3
• 3] 4
• 4] 5

Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

• 1] 16 hours
• 2] 18 hours
• 3] 20 hours
• 4] 24 hours

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

• 1] 2 : 1
• 2] 3 : 1
• 3] 3 : 2
• 4] 4 : 3

A man rows to a place 48 km distant and come back in 14 hours. 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] 1 km/hr
• 2] 1.5 km/hr
• 3] 2 km/hr
• 4] 2.5 km/hr

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
• 2] 1.5
• 3] 2
• 4] 2.5

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] 1 km/hr
• 2] 2 km/hr
• 3] 1.5 km/hr
• 4] 2.5 km/hr

A boat while dowenstream in a reiver converd a distance of 50 miles at an average speed of 60 miles per hour. While returning , because of the water resistance , it took 1 hour 15 minutes to cover the same distance What was the average speed during the whole journey?

• 1] 40 mph
• 2] 48 mph
• 3] 50 mph
• 4] 55 mph

A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. Then the speed of boat in still water and the speed of current are respectively.

• 1] 4 kmph and 3 kmph
• 2] 4.5 kmph and 0.5 kmph
• 3] 4 kmph and 2 kmph
• 4] 5 kmph and 2 kmph

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?

• 1] 30 km
• 2] 24 km
• 3] 20 km
• 4] 32 km

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?

• 1] 2 hrs
• 2] 3 hrs
• 3] 2.4 hrs
• 4] 1.2 hrs

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] 1 hour 24 minutes
• 2] 2 hour 21 minutes
• 3] 2 hour 25 minutes
• 4] 3 hour

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.

• 1] 4 : 3
• 2] 5 : 3
• 3] 6 : 5
• 4] 7 : 3

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?

• 1]

  8 km/hour

• 2]

  \({ \text{6}}\frac{1}{2}\) km/hour

• 3]

  4 km/hour

• 4]

  \({ \text{3}}\frac{1}{2}\) km/hour

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?

• 1] 2 : 1
• 2] 4 : 3
• 3] 1 : 2
• 4] 3 : 1

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]

  1 hour \({ \text{27}}\frac{7}{{13}}\) minutes

• 2]

  1 hour \({ \text{24}}\frac{7}{{13}}\) minutes

• 3]

  1 hour \({ \text{25}}\frac{7}{{13}}\) minutes

• 4]

  1 hour \({ \text{26}}\frac{7}{{13}}\) minutes

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.

• 1] 2 hours 40 minutes
• 2] 2 hours 42 minutes
• 3] 2 hours 10 minutes
• 4] 2 hours 30 minutes

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-

• 1] 2 km/hr
• 2] 2.5 km/hr
• 3] 3 km/hr
• 4] 4 km/hr

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] 1 km/hr
• 2] 1.5 km/hr
• 3] 1.8 km/hr
• 4] 3.5 km/hr

Speed of a along and against the current are 14 kms/hr and 8 kms/hr respectively. The speed of the current is?

• 1] 11 km/hr
• 2] 6 km/hr
• 3] 5.5 km/hr
• 4] 3 km/hr

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?

• 1] 2 hours
• 2] 3 hours
• 3] 4 hours
• 4] 7 hours

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?

• 1] 40 km/h
• 2] 8 km/h
• 3] 16 km/h
• 4] 24 km/h

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?

• 1] 43.2
• 2] 48
• 3] 41.6
• 4] 44.8

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)

• 1] 5 hours
• 2] 6.5 hours
• 3] 5.5 hours
• 4] 8 hours

A man can row upstream at 12km/hr and downstream at 18 km/hr. The man rowing speed in still water is?

• 1] 15 km/hr
• 2] 5 km/hr
• 3] 3 km/hr
• 4] 10 km/hr

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?

• 1]

  \({ \text{3}}\frac{3}{7}\) hr

• 2]

  5 hr

• 3]

  \({ \text{6}}\frac{2}{3}\) hr

• 4]

  \({ \text{7}}\frac{1}{3}\) hr