Boats & Streams

Q.

A fort has provisions for 60 days. If after 15 days, 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort (initially)?

1. 3000

2. 4000

3. 5000

4. 6000

5. none

Q.

A man can row downstream at 12 km/h and upstream at 8 km/h. What is the speed of man in still water?

1. 12 km/h

2. 10 km/h

3. 8 km/h

4. 9 km/h

Q. The sum of three numbers is 98. If the ratio between the first and second number is 2:3 and between second and third be 5:8, then the second number is:

1. 30
2. 20
3. 58
4. 48
5. None of these

Q. A man swimming in a stream which flows $1\frac{1}{2}$ km/hr., finds that in a given time he can swim twice as far with the stream as he can against it. At what rate does he swim?

1. $Noneofthese$
2. $5\frac{1}{2}km/hr$
3. $4\frac{1}{2}km/hr$
4. $7\frac{1}{2}km/hr$

Q.

One year ago, the ratio between A's and B's salary was 4:5. The ratio of their individual salaries of last year and present year are 3:5 and 2:3 respectively. If their total salaries for the present year is Rs 6800, the present salary of A is

1. 2400

2. 3200

3. 4800

4. 5400

5. none

Q.

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in?

1. 4 days

2. 6 days

3. 16 days

4. 12 days

5. 8 days

Q. A crew can row a certain course upstream in 84 minutes; they can row the same course downstream in 9 minutes less than they can row in still water. The time they would take to row down with the stream___

Q.

A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice, as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

1. 20 hrs

2. 35 hrs

3. Cannot be determined

4. None of these

Q. A boat takes 7 hours to go from P to R, through a midpoint Q, but it takes 8 hours to go from P to Q and then return from Q to P. How long it would take to go from R to P?

1. 9 h
2. None of these
3. 8 h
4. 7 h

Q. A man rows a boat a certain distance upstream and then returns to the same place. If the time taken by him in going upstream is twice the time taken in rowing downstream, find the ratio of the speed of the boat in still water and the speed of the stream.

1. 2 : 1
2. 3 : 1
3. 5 : 3
4. 3 : 2

Q.

A child completes a journey in 20 hours. He travels first half of the journey at the rate of 10.5 kmph and second half at the rate of 12 kmph. What is the total journey that he covered in km?

1. 250 km

2. 240km

3. 234 km

4. 224 km

5. 210 km

Q. In a stream, B lies in between A and C such that it is equidistant from both A and C. A boat can go from A to B and back in 6 h 30 minutes while it goes from A to C in 9 h. How long would it take to go from C to A?

1. 3.75 h
2. 4 h
3. 4.25 h
4. 4.5 h

Q.

One year ago, the ratio between A's and B's salary was4:5. The ratio of their individual salaries of last year and present year are3:5and2:3respectively. If their total salaries for the present year is Rs 6800, the present salary of A is

1. 2400

2. 5400

3. 3200

4. none

Q.

In covering a distance of 60 km, Abhishek takes 4 hours more than Sanjay. If Abhishek doubles his speed, then he would take 2 hours less than Sanjay. What is Abhishek's speed?

1. 8 km/hr

2. None of these

3. 10 km/hr

4. 12 km/hr

5. 14 km/hr

Q. Pipes A and B can fill a cistern in 15 hours together. But if these pipes operate separately A takes 40 hours less than B to fill the tank. In how many hours the pipe A will fill the cistern working alone?

1. 60
2. 20
3. 40
4. 15
5. 25

Q. A boat takes 5 hours more while going back in upstream than in downstream. If the distance between two places is 24 km and the speed of boat in still water be 5.5 km/h. What must be the speed of boat in still water so that it can row downstream, 24 km, in 4 hours?

1. 4.5 km/h
2. 3 km/h
3. 1.5 km/h
4. 3.5 km/h

Q. Two ghats are located on a riverbank and are 21 km apart. Leaving one of the ghats for the other, a motorboat returns to the first ghat in 270 minutes, spending 40 min of that time in taking the passengers at the second ghat. Find the speed of the boat in still water if the speed of the river flow is 2.5 km/h.

1. 12.5 km/h
2. 22.5 km/h
3. 10.4 km/h
4. 11.5 km/h

Q. Two points A and B are located 48 km apart on the riverfront. A motorboat must go from A to B and return to A as soon as possible. The river flows at 6 km/h. What must be the least speed of the motorboat in still water for the trip from A to B and back again to be completed in not more than six hours (assume that the motorboat does not stop at B)?

1. 18 km/h
2. 16 km/h
3. 25 km/h
4. 46 km/h

Q.

A man buys postage stamps of 25 paise and 50 paise denominations for Rs.10. He buys 25 stamps in all. Find the number of 25 paise stamps he purchased.

1. 5

2. 10

3. 15

4. 20

5. 25

Q.

A bag contains 25 paise and 50 paise coins. If the total number of coins is 70 and the total sum amounts to Rs.30, find the number of coins of 25 paise.

1. 15

2. 20

3. 25

4. 35

5. 40

Q. If the water level of River – A in July is decreased by 20 percent, then what will be the water level of River – A in July?

1. 156m
2. 162m
3. 164m
4. 152m
5. None of these

Q. Study the following graph carefully to answer the questions that follow.

What was the difference between the total monthly salary of Arun in all the years together and Suman's monthly income in the year 2007?

1. Rs. 1.24 lakh
2. Rs. 1.14 lakh
3. Rs. 11.4 lakh
4. None of the above
5. Rs. 12.4 lakh

Q. X alone can do a piece of work in 5 days. Y can do the same piece of work in 4 days. X and Y are assigned to do the work for Rs 5000. They complete the work in 2 days with the help of Z. How much is to be paid to Z?

1. Rs 750
2. Rs 620
3. Rs 700
4. Rs 500
5. None of these

Q. Ashok can row upstream at $8kmph$ and downstream at $12kmph$. What is the speed of the stream?

1. 6 km/hr
2. 3 km/hr
3. 2 km/hr
4. 4 km/hr
5. 4.5 km/hr

Q.

A train 150 meter long passes a tree in 12 seconds. In how much time will it pass a tunnel 250 meter long?

1. 18 s

2. 20 s

3. 25 s

4. 19 s

5. 32 s

Q. A man rows 25 km downstream and 20 km upstream taking 5 h each time. What is the velocity of the current?

1. 1 km/h
2. None of these
3. 4.5 km/h
4. 3.5 km/h
5. 2.5 km/h

Q. Fifty-three percent of a number is 358 less than the square of 26. What is the value of three-fourths of twenty-three percent of that number?

1. 101
2. 109.5
3. 113
4. 103.5
5. None of these

Q. A motorboat whose speed in still water is 10 km/h went 91 km downstream and then returned to its starting point. Calculate the speed of the river flow if the round trip took a total of 20 hours.

1. 3 km/h
2. 4 km/h
3. 8 km/h
4. 6 km/h

Q.

Two shelves contain $55$ books. If half of the book from the second shelf were relocated to the first shelf, then the first shelf would contain $4$ times more books than the second one. How many books are there on each shelf $?$

Q. A man rows downstream 60 km and upstream 36 km, taking 4 hours each time. The speed of the man is:

1. 15 km/h
2. 16 km/h
3. 8 km/h
4. 12 km/h