# UPSC General Ability and Intelligence - Problems on Trains Question Paper 1

### Exam Duration: 45 Mins Total Questions : 30

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

- (a)
3

- (b)
5

- (c)
8

- (d)
9

A man can row upstream at 8kmph and downstream at 13kmph.The speed of the stream is:

- (a)
2.5 km/hr

- (b)
4.2 km/hr

- (c)
5 km/hr

- (d)
10.5 km/hr

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

- (a)
4 km/hr

- (b)
6 km/hr

- (c)
8 km/hr

- (d)
data inadequate

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 take to go 5km in stationery water?

- (a)
40 minutes

- (b)
1 hour

- (c)
1 hr 15min

- (d)
1 hr 30 min

A man can row three quarters of a kilometers against the stream in 11 1/4 minutes.The speed(in km/hr)of the man in still water is:

- (a)
2

- (b)
3

- (c)
4

- (d)
5

A man takes twice 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:

- (a)
2 :1

- (b)
3 :1

- (c)
3 :2

- (d)
4 :3

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)
2:1

- (b)
3:2

- (c)
8:3

- (d)
Cannot be determined

- (e)
None of these

If a boat goes 7 km upstream in 42 minutes and the speed of the stream is a 3 kmph, then the speed of the boat in still water is:

- (a)
4.2 km/hr

- (b)
9 km/hr

- (c)
13 km/hr

- (d)
21 km/hr

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)
9 km/hr

- (c)
10 km/hr

- (d)
12.5 kim/hr

If a man rows at the rate of 5 kmph in still water and his rate against the current in 3.5 kmph,then the man's rate along the current is:

- (a)
4.25 kmph

- (b)
6 kmph

- (c)
6.5 kmph

- (d)
8.5 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.

- (a)
2 hours

- (b)
3 hours

- (c)
4 hours

- (d)
5 hours

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 distance of 105 km and comes back to the starting point.The total time taken by him is:

- (a)
16 hours

- (b)
18 hours

- (c)
20 hours

- (d)
24 hours

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

- (a)
1.2 km

- (b)
1.8 km

- (c)
2.4 km

- (d)
3.6 km

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?

- (a)
2.4 km

- (b)
2.5 km

- (c)
3 km

- (d)
3.6 km

A motorboat,whose speed is 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)
4

- (b)
5

- (c)
6

- (d)
10

The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is:

- (a)
2 km/hr

- (b)
2.5 km/hr

- (c)
3 km/hr

- (d)
4 km/hr

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:

- (a)
2 mph

- (b)
2.5 mph

- (c)
3 mph

- (d)
4 mph

A man rows to a place 48 km distant and 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)
1.5 km/hr

- (c)
1.8 km/hr

- (d)
3.5 km/hr

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 1/2 hours.The velocity of the current is :

- (a)
1 km/hr

- (b)
1.5 km/hr

- (c)
2 km/hr

- (d)
2.5 km/hr

A man can row 9\(\frac { 1 }{ 3 } \) kmph in still water and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. The speed current is:

- (a)
3\(\frac { 1 }{ 3 } \)

- (b)
3\(\frac { 1 }{ 9 } \)

- (c)
4\(\frac {2 }{ 3 } \)

- (d)
4\(\frac { 1 }{ 2 } \)

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?

- (a)
12 kmph

- (b)
13 kmph

- (c)
14 kmph

- (d)
15 kmph

- (e)
None of these

At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hours less than it takes him travel the same distance upstream. But if he could double his usual rowing rate for his 24-mile round trip, the downstream 12 miles would then take only one hour less than the upstream 12 miles. What is the speed of the current in miles per hour?

- (a)
1\(\frac { 1 }{ 3 } \)

- (b)
1\(\frac { 2 }{ 3 } \)

- (c)
2\(\frac { 1 }{ 3 } \)

- (d)
2\(\frac {2 }{ 3 } \)

The question give below consists of a statements and / or a queastion and two statements numbered I and II given below it. You have to decide whether the data provided in the ststement(s) is/are sufficient to answer the question. Read both the ststements and

What is the speed of the boat in still water?

I. It takes 2 hours to cover the distance between A and B downstream.

II. It takes 4 hours to cover the distance between A and B dUPstream.

- (a)
if the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to ansewr the question;

- (b)
If the data in Statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question;

- (c)
If the data either in statement I or in statement II together are not sufficient to answer the question;

- (d)
if the data even in both statements I and II together are not sufficient to answer the question;

- (e)
If the data in both statements I and II together are necessary to answer the question.

The question give below consists of a statements and / or a queastion and two statements numbered I and II given below it. You have to decide whether the data provided in the ststement(s) is/are sufficient to answer the question. Read both the ststements and

What is the speed of the stream?

I. The ratio of the speed upstream to the speed downstream of a boat is 2:3.

II. The didtance travelled upstream in 2 hours by the boat is more than the distance travelled by it downstream in 1 hour by 4 km.

- (a)
if the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to ansewr the question;

- (b)
if the data in Statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question;

- (c)
if the data either in statement I or in statement II together are not sufficient to answer the question;

- (d)
if the data even in both statements I and II together are not sufficient to answer the question;

- (e)
if the data in both statements I and II together are necessary to answer the question.

The question give below consists of a statements and / or a queastion and two statements numbered I and II given below it. You have to decide whether the data provided in the ststement(s) is/are sufficient to answer the question. Read both the ststements and

What is the speed of the boat in still water?

I. The boat covers a distance of 48 kms in 6 hrs while running upstream.

II. The boat covers the same distance in 4 hours while running downstream.

- (a)
if the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to ansewr the question;

- (b)
if the data in Statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question;

- (c)
if the data either in statement I or in statement II together are not sufficient to answer the question;

- (d)
if the data even in both statements I and II together are not sufficient to answer the question;

- (e)
if the data in both statements I and II together are necessary to answer the question.

What is the man's speed in still water?

I. The speed of the stream is one-thired of the man's speed in still water.

II. In a given time, the man can swim twice as far with the stream as he can against it.

- (a)
- (b)
if the data in Statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question;

- (c)
if the data either in statement I or in statement II together are not sufficient to answer the question;

- (d)
if the data even in both statements I and II together are not sufficient to answer the question;

- (e)
if the data in both statements I and II together are necessary to answer the question.

A boat takes a total time of three hours to travel downstream from P to Q and upstream back from Q to P. What is the speed of the boat in still water?

I. The speed of the river current is 1km per hour.

II. The distance between P and Q is 4 km.

- (a)
- (b)
- (c)
- (d)
if the data even in both statements I and II together are not sufficient to answer the question;

- (e)
if the data in both statements I and II together are necessary to answer the question.

What is the speed of the boat in still water?

I. The speed downstream of the boat is thrice the speed upstream.

II. The sum of the speeds of the boat, upstream and downstream is 12 kmph.

- (a)
- (b)
- (c)
- (d)
if the data even in both statements I and II together are not sufficient to answer the question;

- (e)
if the data in both statements I and II together are necessary to answer the question.

The question given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statements is / are necessary to answer the questions.

What is the speed of the boat in still water?

I. The speed downstream is 12 kmph.

II. The speed upstream is 4 kmph.

III. In a to and fro journey between two points, the average speed of the boat was 6 kmph.

- (a)
I and II only

- (b)
All I,II and III

- (c)
III, and either I or II

- (d)
Any two of the three

- (e)
None of these

The question given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statements is / are necessary to answer the questions.

What is the speed of stream?

I. The boat covers 24 km in 6 hours moving upstream.

II. The boat covers 24 km in 3 hours moving downstream.

III. The ratio between the speed of boat and stream is 3:1 respectively.

- (a)
Any two of the three

- (b)
I and II only

- (c)
II and III only

- (d)
I and III only

- (e)
All I, II and III.