**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.

Option =A

**Hint we can solve this buy using ratio and using relation of time, speed and distance**

3:4 is the ratio of distance; as we know ratio of distance is directly proportional to ratio of time

Therefore ratio of time = 3:4 then,

Time taken upstream = 3\7*14=6h

Time taken downstream= 4\7*14=8h

Speed =8km/h and 7km/h ..

Stream speed=1km/h

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**A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water?**A.2 hr 30 min B. 2 hr

C.4 hr D. 1 hr 15 minAnswer

Option A

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**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

OptionA

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**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

Option C

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**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.4 mph B. 2.5 mph

C.3 mph D. 2 mph

Option D

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6**.Find the rate of the stream, if a boat covers 120 km downstream and 40 km upstream in 4 hours.**

** ** a) 15 km/hr b) 20 km/hr

c) 10 km/hr d) 25 km/hr

Option: c) 10km/hr

Solution :

Distance covered in downstream = 120 km

Time taken in downstream = 4 hours.

Rate of downstream = distance / time = a = 120km / 4 hours = 30 km/hr.

Distance covered in upstream = 40 km

Since it takes same time to cover this 40km,

Time taken in upstream = 4 hours.

Rate of upstream = distance / time = b = 40km / 4 hours = 10 km/hr.

Speed of stream = (a – b)/2 = (1/2)(30 – 10) km/hr = 10 km/hr.

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7**.A boat covers a certain distance in half an hour downstream with the speed of 20km/hr in still water and the speed of current is 4km/hr. Then the distance travelled by the boat is:**

a) 6km b) 7km

c) 12km d) 4km

Option : c) 12km

Solution:

Given that the speed of a boat in still water is 20 km/hr and speed of the stream is 4 km/hr.

Then the speed downstream = (20 + 4) km/hr = 24 km/hr.

The distance travelled in half an hour = 24 x 1/2 = 12 km.

Hence the distance travelled by the boat is 12 km.

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**8-10Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and**

**Give answer (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 answer the question.**

**Give answer (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.**

**Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.**

**Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.**

**Give answer(E) if the data in both Statements I and II together are necessary to answer the question.**

**8.A boat takes a total time of three hours to travel downstream from P and 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 1 km per hour.**

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

- I alone sufficient while II alone not sufficient to answer
- II alone sufficient while I alone not sufficient to answer
- Either I or II alone sufficient to answer
- Both I and II are not sufficient to answer
- Both I and II are necessary to answer

Answer:

Option E

**9.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 upstream**

**.**

- I alone sufficient while II alone not sufficient to answer
- II alone sufficient while I alone not sufficient to answer
- Either I or II alone sufficient to answer
- Both I and II are not sufficient to answer
- Both I and II are necessary to answer

Answer

OptionD

**10.What is the speed of the boat in still water?**

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

**IIThe boat covers the same distance in 4 hours while running downstream**

**.**

- I alone sufficient while II alone not sufficient to answer
- II alone sufficient while I alone not sufficient to answer
- Either I or II alone sufficient to answer
- Both I and II are not sufficient to answer
- Both I and II are necessary to answer

Answer:

Option E