1 How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr ? A) $1\frac{1}{5}$ min B) $1\frac{1}{20}$ min C) $3\frac{1}{5}$ min D) $3\frac{1}{15}$ min E) $3\frac{1}{25}$ min
2 A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds. A) 16:13 B) 17:15 C) 18:14 D) 16:15 E) 16:17
3 While covering a distance of 24 km, a man noticed that after walking for 1 hour and 40 minutes, the distance covered by him was $\frac{5}{7}$ of the remaining distance. What was his speed in metres per second ? A) $1\frac{2}{4}$ m/sec B) $1\frac{2}{5}$ m/sec C) $1\frac{2}{3}$ m/sec D) $1\frac{2}{6}$ m/sec E) $1\frac{2}{5}$ m/sec
4 A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village. A) 21 km. B) 22 km. C) 23 km. D) 20 km. E) 24 km.
5 Walking at $\frac{5}{6}$ of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey. A) 60 min. B) 50 min. C) 70 min. D) 90 min. E) 100 min.
6 If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, If he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival the train. Find the distance covered by him to reach the station. A) 6 km. B) 7 km. C) 68 km. D) 9 km. E) 10 km.
7 A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train ? A) 37 kmph. B) 36 kmph. C) 38 kmph. D) 39 kmph. E) 40 kmph.
8 A walk a certain distance and ride back taking a total time of 37 minutes. A could walk both ways in 55 minutes. How long would it take me to ride both ways ? A) 19 min. B) 18 min. C) 17 min. D) 16 min. E) 15 min.
9 A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling ? A) 60 km/hr B) 70 km/hr C) 50 km/hr D) 40 km/hr E) 90 km/hr
10 The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours ? A) 552 km B) 500 km C) 450 km D) 555 km E) 455 km
11 An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in $1\frac{2}{3}$ hours, it must travel at a speed of : A) 725 km/hr B) 720 km/hr C) 726 km/hr D) 727 km/hr E) 728 km/hr
12 A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is : A) 14 km B) 18 km C) 16 km D) 20 km E) 12 km
13 A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A ? A) 26.7 km B) 36.7 km C) 46.7 km D) 25.7 km E) 27.7 km
14 A man standing on a 170 m long platform watches that a train takes $7\frac{1}{2}$ seconds to pass him and 21 seconds to cross the platform. Find the length of the train and its speed. A) $94\frac{4}{9}$ , $12\frac{16}{27}$ B) $92\frac{4}{9}$ , $12\frac{16}{27}$ C) $94\frac{4}{3}$ , $14\frac{16}{9}$ D) $94\frac{4}{3}$ , $14\frac{15}{9}$ E) None of these
Each of the questions given below consists of two statements numbered I and II given below it. Please read the questions carefully and decide whether the data provided in the statement(s) is / are sufficient to answer the given question. 15 What is the average speed of the car over the entire distance ? I. The car covers the whole distance in four equal stretches at speeds of 10 kmph, 20 kmph, 30 kmph and 60 kmph respectively. II. The total time taken is 36 minutes. A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer C) Either I or II alone sufficient to answer D) Both I and II are not sufficient to answer E) Both I and II are necessary to answer
