Boats And Streams Test

Result

Boats And Streams Test - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
3 / -1

The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:

A
9.4 km

B
10.2 km

C
10.4 km

D
9.2 km

Solution

Speed downstream = (22 + 4) kmph = 26 kmph.
Distance travelled = 26 x 24/60
Distance travelled = 10.4 km
Question 2
3 / -1

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?

A
5 : 6

B
6 : 5

C
8 : 3

D
3 : 8

Solution

Let the man's rate upstream be x kmph and that downstream be y kmph.
Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
Question 3
3 / -1

Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:

A
700 hours

B
350 hours

C
1400 hours

D
1010 hours

Solution

Speed downstream = (14 + 1.2)
= 15.2kmph
Speed upstream = (14-1.2)
= 12.8kmph
Total time taken = 4864/15.2 + 4864/12.8
= 320 + 380
= 700hrs
Question 4
3 / -1

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:

A
10

B
6

C
5

D
4

Solution

Let the speed of the stream be x km/hr. Then,
Speed downstream = (15 + x) km/hr,
Speed upstream = (15 - x) km/hr.
⇒ 9x² = 225
⇒ x² = 25
⇒ x = 5 km/hr.
Question 5
3 / -1

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:

A
8.5 km/hr

B
10 km/hr.

C
12.5 km/hr

D
9 km/hr

Solution

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.
Question 6
3 / -1

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:

A
1 km/hr

B
2 km/hr.

C
1.5 km/hr.

D
2.5 km/hr.

Solution

Suppose he move 4 km downstream in x hours. Then,
Speed downstream =

Speed upstream =
So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.
Question 7
3 / -1

In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A
12 km/hr

B
11 km/hr

C
10 km/hr

D
8 km/hr

Solution

Speed in still water = = 8 kmph.
Question 8
3 / -1

A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 54 km downstream.

A
5 hours

B
4 hours

C
3 hours

D
2 hours

Solution

Speed downstream = (22 + 5) km/hr = 27 km/hr.
Time taken to travel 54 km downstream = (54/27) hours
= 2 hours
Question 9
3 / -1

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?

A
1 hr 15 min

B
2 hr

C
4 hr

D
2 hr 30 min

Solution

Rate downstream =
Rate upstream = 2 km/hr.
Speed in still water =
Required time =
Question 10
3 / -1

In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A
12 km/hr

B
11 km/hr

C
10 km/hr

D
8 km/hr

Solution

Speed in still water = 1/2 (14 + 8) km/hr
= 11 km/hr