31). 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 |
|
32). 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 |
|
33). 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 |
|
34). 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 |
|
35). 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 |
|
36). 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 |
|
37). 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). \( \Large 5 \frac{1}{3} \ hours \) |
|
38). 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 |
|
39). 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 |
|
40). 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 |
|
