Inversely Proportional

Q.

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

1. 2.91 m

2. 3 m

3. 5.82 m

4. 6 m

5. 9 m

Q. A man can swim with the speed 5m/s he want to cross a 100 m wide river flowing at 3m/s to reach the point directly opposite to his starting point, in which direction he should try to swim?

Q.

The Speeds Of Three Cars Are In The Ratio $2:3:4$. What Is The Ratio Between The Times Taken By These Cars To Travel The Same Distance?

Q. A sum of Rs 210 is made up of coins consisting of rupee coins, 50 P and 25 P, of which the numbers are proportional to 5, 6 and 8. How many rupee coins are there?

1. 63
2. 168
3. 105
4. 100
5. None of these

Q. If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon ? (2004)

1. 11 km/hr
2. 12 km/hr
3. 13 km/hr
4. 14 km/hr

Q.

A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station is___

Q. For covering a distance of P km, a man takes 't' hours. He takes 40 min less if he moves 3 km/h faster. But, if he moves slower by 2 km/h, he takes 40 min more. Then, P is equal to:

1. 22.5 km
2. 32.5 km
3. 42.5 km
4. None of these

Q. A train met with an accident 120 km from station A. It completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B.Had the accident taken place 300 km further, it would have been only 1 hour late. What is the speed of the train?

1. 100 km/h
2. 120 km/h
3. 60 km/h
4. 50 km/h

Q. A car after travelling a distance of 110 km develops a problem in the engine and proceeds at $\frac{3}{4}th$ of its former speed and arrives at the destination 60 min late. Had the problem developed 30 km further on, the car would have arrived 12 min sooner. Find the original speed of the car.

1. 45 km/h
2. 60 km/h
3. 50 km/h
4. None of these

Q.

As income is $20\%$ less than that of B, By what percent is Bs income more than As?

Q. Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the first city at a speed of 10 km/hr and 5km/hr respectively. P reached the second city B and returns to meet Q at Y. Find the distance between A and Y.

1. 55 km
2. 53 km
3. 30 km
4. 40 km
5. 50 km

Q.

A car travels a certain distance with a speed of 40 m/s and returns with a speed of u. If the average speed of the whole journey is 48 m/s, what is the value of u?

Q. A passenger train departs from Ahmadabad at 6 pm towards Bombay. At 9 pm, an express train, whose average speed exceeds that of the passenger train by 15 km/h, leaves Bombay towards Ahmedabad. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?

1. 6 am
2. 2 pm
3. 4 pm
4. 12 mid - night

Q. A hunter fired two shots from the branch of a tree at an interval of 76 seconds. A tiger separating too fast hears the two shots at an interval of 83 seconds. If the velocity of the sound is 1195.2 km/h, then find the speed of the tiger.

1. None of these
2. 112.8 km/h
3. 100.8 km/h
4. 80.16 km/h

Q. A man travels from his home to office at 4km/hr and reaches his office 10 min late. If the speed had been 6 km/hr he would have reached 20 min early. Find the distance from his home to office?

1. 4km
2. 6km
3. 9km
4. 8km

Q. Two pipes P and Q can fill a tank 8 hours. If only pipe P is open then it would take 4 hours longer to fill the tank. Find how much longer would it take if only pipe Q is open.

1. 16 hrs
2. 12 hrs
3. 10 hrs
4. 8 hrs
5. None of these

Q. When the speed of a train is increased by 20%, it takes 20 min less to cover the same distance. What is the time taken to cover the same distance with the actual speed?

1. 2h
2. 2.5h
3. 1.5h
4. 1h

Q.

A train overtakes two persons walking along a railway track. The first person walks at 9 km/hr and the other walks at 10.8 km/hr. The train needs 16.8 and 17 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

1. 108 kmph

2. 144 kmph

3. 162 kmph

4. 180 kmph

Q.

If a man walks at 7 kmph instead of 5 kmph, he would have walked 10 km more. Then, what is the actual distance travelled by him?

1. 20 km

2. 22.5 km

3. 25 km

4. 27.5 km

Q.

A and B start at the same time from two places 30 km apart. If they walk in the same direction, A overtakes B in 10 hours and if they walk in opposite directions they meet in 2 hours. Find the rate of walking of A.

1. 5 kmph

2. 7 kmph

3. 9 kmph

4. 11 kmph

5. 13 kmph

Q. A man travels A to B at a speed x km/hr. He then rests at B for x hours. He then travels from B to C at a speed 2x km/hr and rests for 2x hours. He moves further to D at a speed twice as that between B and C. He thus reaches D in 16 hr. If distances A-B, B-C and C-D are all equal to 12 km, the time for which he rested at B could be:

1. 3 hr
2. 6hr
3. 2hr
4. 4hr

Q. P and Q start running simultaneously - one from point A to B and the second from point B to A. P's speed is $\frac{6}{5}th$ of Q's speed. If after crossing Q, P takes 2 $\frac{1}{2}h$ to reach B, how much time does Q take to reach A after crossing P?

1. 3 hours 36 min
2. 3 hours 48 min
3. 4 hours 12 min
4. None of these

Q. After travelling 50km, a train is meeting with an accident and travels at 3/4th of the usual speed and reaches 45 min late. Had the accident happened 10km further on it would have reached 35 min late. Find the usual speed?

1. 15km/hr
2. 30km/hr
3. 20km/hr
4. 25km/hr

Q.

What was the approximate percentage decline in the production of flavour Z in 2000 as compared to the production in 1998?

1. 22.5%

2. 25%

3. 33%

4. 50%

5. 42%

Q.

20% alcohol present in a 15 litres mixture and rest of water. If 3 litres of water be mixed with it, the percentage of alcohol in the new mixture would be?

1. 50/3

2. 40/3

3. 20/3

4. 10/3

5. None

Q.

An old lady covered a certain distance at some speed. Had she moved 6kmph faster, she would have taken 80 minutes less. If she had moved 4kmph slower, she would have taken 80 minutes more. What is the distance (in km)?

1. 320 km

2. 200 km

3. 240 km

4. 280 km

5. 160 km

Q.

A car can reach a certain place in 12 hours at a speed of 60 km per hour. By how much should the speed be increased so that it completes the journey in 10 hours?

Q.

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same ruote at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance travelled by him is

1. 60 miles

2. 65 miles

3. 70 miles

4. 55 miles

Q. Abdul starts in a car from Ahmedabad towards Bangalore. After some time, he realises that he will cover only 75% of the distance in the scheduled time and he, therefore, doubles his speed immediately and thus manages to reach Bangalore exactly on time. Find the time after which Abdul changed his speed, given that he could have been late by 3 hours if he had not changed his speed:

1. 4 h
2. 5 h
3. 6 h
4. 3 h

Q. A girl while walking diametrically across a semicircular playground, takes 3 minutes less than if she had kept walking around the circular path from A to B. If she walks 60 metres a minute, what is the diameter of the playground?

1. 60m
2. 48m
3. 84 m
4. 315m