A car covers one third of a journey at a speed of 10 kmph and half of the rest at a speed of 20 kmph and the rest at the speed of 30 kmph what is the average speed of the car?

Three cars start from point A together and reach point B at equal intervals. Second car whose sped is less than third car but more than first car taken a u turn and starts its journey towards A whereas third car heads for point C which is 100 km away from point B. First car and third car meet each other at mid way of A and C after third car takes u turn from C. First car travels half the distance between A and B when second reaches B. The sum of speed of second car and third car is 100 kmh. What is the difference between speed of third car and first car?

A

20 km/h

B

40 km/h

C

30 km/h

D

50 km/h

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.

A

The data in statement II alone is sufficient to answer the question, while the data in neither statement I nor III alone are sufficient to answer the question.

B

The data in either statement II or in Statement III alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C

The data is only statement III alone or in Statement I and II together are sufficient to answer the question.

D

The data in all Statement I, II and III together are not sufficient to answer the question.

E

If the data in all the Statement I, II and III together are necessary to answer the question.

Study the two cases and answer in terms of relation between the two cases Case 1: The average speed of the bike is \(3\frac{3}{4}\) times the average speed of the bus. A car covers 720 km in 10 hours. How much distance (in km) will a bike cover in 50 minutes if the speed of the bus is half of the speed of the car? Case 2: The average speed of bike is \(1\frac{2}{5}\) times the average speed of the car. A bus covers 441 km in 7 hours. How much distance (in km) will a bike cover in 45 minutes if the speed of the car is twice the speed of the bus?

A

Case 1 > Case 2

B

Case 2 > Case 1

C

Case 2 = Case 1

D

Case 2 ≠ Case 1

E

Data Insufficient

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: The average speed of a car is \(2\frac{3}{5}\) times the average speed of bus. A bike covers 270 km in 3 hour. How much distance will the car cover in 5 hours if the speed of the bus is one third of the speed of bike? Quantity B: The average speed of a train is \(1\frac{4}{7}\) times the average speed of car. The car covers a distance of 490 km in 5 hours. How much distance will the train cover in 10 hours?

A

Quantity A > Quantity B

B

Quantity A < Quantity B

C

Quantity A ≥ Quantity B

D

Quantity A ≤ Quantity B

E

Quantity A = Quantity B

A car covers certain distance at a certain time. Car covers 35% of the journey in 30% of time and 45% of journey in 60% of time. At what speed (in km) should be the car cover the remaining journey so that the car reaches the destination right on time? The speed of the car is 60 km/hr.

A

90 km/hr

B

120 km/hr

C

140 km/hr

D

110 km/hr

A bus covers half of its journey at a certain speed. In the remaining half-part of the journey, the speed of the bus increased by 50%. The average speed of the bus in the whole journey is what percentage of the speed of the bus in the remaining half-part of the journey?

A

20%

B

40%

C

50%

D

60%

E

80%

Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?

A

One

B

Two

C

Three

D

Four

The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A car travels from city P to city Q in T hours with a speed of v km per hour. Distance between cities P and Q is D kilometers. If it increases its speed by 5 kmph it saves some time. Find the actual speed of the car. Statement I: If the car travels from P to Q with its actual speed of v kmph and come back with the speed of v + 5 kmph in 2T – 0.6 hrs Statement II: A bus start form Q at the same time when the car starts from P and the speed of the bus is 50% more than the speed of the car and the bus meets car after covering 60% of the distance Statement III: Distance between PQ is given by D2 – 25D + 200 = 0

A

Statement I and II are sufficient to answer the question

B

Statement I and III are sufficient to answer the question.

C

Any two statements are sufficient to answer the question.

D

All the statements together are not sufficient to answer the question.

E

All the statements together are required to answer the question.

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: During a journey of 100 km, a bus covers first 60 km with a speed of 45 kmph and the remaining distance with a speed of 30 kmph. The average speed of the bus during the whole journey is... Quantity B: A motorcycle rider 250 km distance of uphill in 5 hr and in return he cover the same distance downhill in 3 hr. The average speed of the rider over the journey is....

A