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The speed of the boat in still water is 24 kmph and the speed of the stream is 4 km / h. The time taken by the boat to travel from A to B downstream is 36 minutes less than the time taken by the same boat to travel from B to C upstream. If the distance between A and B is 4 km more than the distance between B and C, what is the distance between A and B ?

A) 112 km
B) 140km
C) 56 km
D) 84 km

Correct Answer:



C) 56 km

Description for Correct answer:
Rate downstream

= 24 + 4 = 28 kmph

Rate upstream

= 24 - 4 = 20 kmph

Distance between A and B = x km.

\( \Large \therefore BC = (x - 4) km \)

According to the question,

\( \Large \frac{x - 4}{20} - \frac{x}{28} = {36}{60} \)

=> \( \Large \frac{7x - 28 - 5x}{140} = \frac{3}{5} \)

=> \( \Large \frac{2x - 28}{140} = \frac{3}{5} \)

=> \( \Large 2x - 28 = \frac{3}{5} \times 140 = 84 \)

=> 2x = 84 + 28 = 112

=> \( \Large x = \frac{112}{2} = 56 km \)

Part of solved Aptitude questions and answers : >> Aptitude

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Similar Questions

1). A certain sum is divided among A, B and C in such a way that A gets Rs. 40 more than the \( \Large \frac{1}{2} \) of the sum, B gets Rs. 120 less than \( \Large \frac{3}{8} \)th of the sum and C gets Rs. 200. What is the total sum ?

A). Rs. 1100

B). Rs. 850

C). Rs. 960

D). Rs. 1200

2). The respective ratio between speed of the boat upstream and speed of the boat downstream is 3 : 4. What is the speed of the boat in still water if it covers 70 km downstream in 3 hours 30 minutes? (in km/h)

A). 18

B). 18.5

C). 17

D). 17.5

3). A tank has two inlets : A and B. A alone takes 2 hours and B alone takes 3 hours to fill the empty tank completely when there is no leakage. A leakage was caused which would empty the full tank completely in 'x' hours when no inlet is open. Now, when only inlet A was opened, it took 3 hours to fill the empty tank completely. How much time will B alone take to fill the empty tank completely ? (in hours)

A). 4.5

B). 7.5

C). 3

D). 6

4). Time taken by a boat in going upstream a certain distance is twice the time taken in going the same distance downstream. Find the speed of boat upstream if it covers 20 km downstream in 1 hour 40 minutes.

A). 6 kmph

B). 7 kmph

C). 6.5 kmph

D). 7.2 kmph

5). The time taken by a boat to travel a distance downstream is half the time taken by it to travel the same distance upstream. What is the speed of the boat downstream if it travels 7.5 km upstream in 1 hour 30 minutes ? (in km/h)

A). 7.5

B). 5

C). 9

D). 10

6). Pipe A and B can fill a tank in 10 hours and 8 hours respectively. After certain time, pipe A was closed. It took a total of 6 hours to fill the tank completely. For how many hours did pipe A work?

A). \( \Large 4 \frac{1}{4} \ hours \)

B). \( \Large 2 \frac{1}{2} \ hours \)

C). \( \Large 3 \frac{1}{3} \ hours \)

D). \( \Large 5 \frac{1}{3} \ hours \)

7). 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 hours 30 minutes. what is the speed of the boat in still water ? (in km/ h)

A). 40

B). 8

C). 16

D). 24

8). The respective ratio between speed of the boat upstream and speed of the boat downstream is 3 : 4. What is the speed of the boat in still water if it covers 70 km downstream in 3 hours 30 minutes? (in km/ h)

A). 18

B). 18.5

C). 17

D). 17.5

9). A tank has two inlets : A and B. A alone takes 2 hours and B alone takes 3 hours to fill the empty tank completely when there is no leakage. A leakage was caused which would empty the full tank completely in 'x' hours when no inlet is open. Now, when only inlet A was opened, it took 3 hours to fill the empty tank completely. How much time will B alone take to fill the empty tank completely ? (in hours)

A). 4.5

B). 7.5

C). 3

D). 6

10). The speed of a boat in still water is 15 kmph and the speed of the current is 3 kmph. The distance travelled by the boat from point A to point B downstream is 24 km more than the distance covered by the same boat from point B to point C upstream in the same time. How much time will the boat take to travel from point C to point B downstream ?

A). 2 hrs

B). 2 hrs 30 mins

C). 2 hrs 40 mins

D). 2 hrs 10 mins