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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.
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  
The engine of a bus follows certain mileage characteristics in a speed limit of 25 km/hr to 80 km/hr. The bus can travel a distance of 15 km in one litre of petrol while travelling at 50 km/hr. From this point onwards for every increase of 5 km/hr in the speed of the bus the mileage is increased by 1 km per litre. Similarly for every decrease of 5 kmph in the speed of the car the mileage is decreased by 1 km per litre. Assume that the bus travels in this speed limit only. Krishna has filled exactly 10 litres of petrol in his bus. He drives at a speed of 45 kmph for first two hours. What is maximum distance that he can cover with the remaining quantity of petrol before his tank empties?
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?
Questions below followed by two quantities. Find the relation between them. The table shows the distance travelled by five different boats upstream, the speed of the boat in still water and the time taken by them to cover the upstream distance. Boats Upstream distance Speed of boat Time taken  A  240 km  15 km/hr  20 hr  B  150 km  10 km/hr  25 hr  C  350 km  20 km/hr  50 hr  D  96 km  8 km/hr  16 hr  E  126 km  26 km/hr  9 hr   Quantity I: Boat B travel 238 km distance downstream in certain time. How much downstream distance boat D will cover at the same time? Quantity II: Boat E travel 722 km distance downstream in certain time. How much downstream distance boat A will cover at the same time?
Study the following questions carefully and answer accordingly. Quantity - I) If the time taken by a boat to cover the same distance in upstream is 2 hours more than downstream. The downstream speed of the boat and the speed of current is 16 kmph and 4 kmph then find the total distance travelled by the boat? Quantity - II) If the time taken by the boat in upstream and in downstream is 16 hours and 10 hours to cover the same distance. Then find the speed of boat in still water is how much percent of the speed of stream? Quantity – III) If the length of rectangle is twice of its breadth and 3 times more than the side of square and the difference between the side of square and length of rectangle is 15 cm then find the area of rectangle ?
A travels a certain distance at a different speed. He travels 35% of distance at a speed of 70 kmph, 25% of distance at a speed of 100 kmph, 20% of distance at a speed of 80 kmph, and remaining at 50 kmph. At the same average speed, in how much time A will cover 500 km?
What is the distance covered by boat N upstream in 5 hours? Which of the following option is sufficient alone to find the answer? A) Boat M is travelling downstream with 20% more downstream speed of boat N. Speed of boat M in still water is 10% more than the speed of boat N in still water. B) Boat M and Boat N are travelling downstream with speed 33 km/hr and 40 km/hr respectively and speed of boat M is still water is 2 times the speed of stream. C) Speed of boat M in still water is 6 km/hr less then speed of boat N in still water and speed of stream is 10 km/hr. D) Speed of stream is ½ times the speed of boat N in still water and downstream speed of boat M is 44 km/hr. E) Speed of stream is 10 km/hr and ratio of upstream speed of boat M and boat N is 3 : 2 respectively.
A person went from Delhi to Agra.He covered some distance by Bus and remaining distance by Train. If he covered complete distance which is 2000 km in 18 hrs. If Speed of Bus is 72 km/hr and speed of Train is 160 km/hr, Find distance covered by Bus.
If Rati travels at his usual speed for ‘x’ hours, he covers the same distance as he covered when he travels at a speed 30 km/hr less than usual, but for (x + 3) hours. Which of the following can be determined? (A) If he travels at 20 km/hr less speed than usual, he can cover a distance of 240 km in (x - 1) hours. What is the value of ‘x’? (B) If travels at his usual speed for (t + 2) hours, and at 50% of his usual speed for (t - 2) hours, his average speed for the journey is 68 km/hr. What is his usual speed? (C) His usual speed (in km/hr) is a multiple of 5 between 40 and 50 (both inclusive). If ‘x’ is a whole number, what is his usual speed? (D) If he travels at his usual speed for ‘t’ hours, he covers a distance of 400 km. What is the value of ‘x’?