1. A man goes from Delhi to Dehradun. Half the distance he covers by bus at an average speed of 50 Km/hr and the other half by train at an average speed of 70 Km/hr the average speed for the whole journey was
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2. A person shooting at a target from a distance of 450 metres finds that the sound of the bullet hitting the target comes 1 / 2 seconds after he fired. A person equidistant from the target and shooting point hears the bullet hit 3 seconds after he heard the gun. The speed of sound is
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3. A monkey climbs a slippery pole 12 m high. It rises 1 meter in every one minute and slips 1 /2 meter in every next minute. Find how soon it will reach the top?
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4. A boy walks at 4 Km/hr and reaches his school 5 minutes late. Next day he walks at 5 Km/hr and start at the same time, reaches his school 10 minutes early. How far the school is from his house
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5. A train starts from Delhi with a certain number of passengers. At Ghaziabad 110 get down and 100 get in. At Aligarh 50% get down and 25 get in. At Kanpur 5 of them get down and 50 get in. When train leaves Kanpur there are 200 passengers. How many did board the train at Delhi?
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6. A person has to make a journey of 72 Kms. He rides a cycle at 12 Km/hr. After going certain distance, the cycle got punctured and he walks the remaining distance at \( \Large 4\frac{1}{2} \)Km/hr. Where did the cycle got punctured if the total time taken for the journey was \(8 \frac{1}{2} \) hours?
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7. A train travelled from A to B and back in a certain time at the rate of 60 Km/hr. But if the train had travelled from A to B at the rate of 80 Km/hr and back from B to A at the rate of 40 Km/hr it would take two hours longer. The distance between A and B is
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8. P and Q are two stations 50 Km apart. X left stations P for station Q at the speed of 4 Km/hr and Y left station Q for station P at the speed of 6 Km/hr. They cross each other after
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9. The distance between two cities A and B is 110 km. A motor cycle rider starts from A towards B at 7 a.m. with a speed of 20 Km/hr. Another rider starts from B towards A at 8 a.m. with a speed of 25 Km/hr. When will they cross each other?
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10. A father and his son start at a point A with speeds of 12 Km/hr and 18 Km/hr respectively, and reach another point B. If his son starts 60 minutes after his father at A and reaches B 60 minutes before his father, what the distance between A and B?
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11. A person riding a bike crossing a bridge with a speed of 54 Km/hr. What is the length of the bridge, if he takes 4 min to cross the bridge?
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12. Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2 : 7. Find the ratio of time taken by A and B to reach from X to Y
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13. Aashutosh can cover a certain distance in 84 min by covering 2 / 3 rd of distance at 4 Km/hr and the test at 5 Km/hr. Find the total distance
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14. A bullock cart has to cover a distance of 80km in 10 hr. If it covers half of the journey in \( \Large \frac{3}{5}th\) time, what should be its speed to cover the remaining distance in the left time?
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15. A thief noticed by a policeman from a distance of 200m. The thief starts running and the policeman, chases him. The thief and the policeman run at the rate of 10 Km/hr and 11 Km/hr respectively. The distance between them after 6 min will be
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