1 .
The average speed of a car is 1$4 \over 5$ times the average speed of a bus. A tractor covers 575 km in 23 hours. How much distance will the car cover in 4 hours if the speed of the bus is twice speed of the tractor ?
A.  340 km
B.  480 km
C.  360 km
D.  450 km
E.  None of these
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2 .
A bike covers a certain distance at the speed of 64 km/h in 8 hours. If the bike was to cover the same distance in approximately 6 hours, at what approximate speed should the bike travel ?
A.  80 km/h
B.  85 km/h
C.  90 km/h
D.  75 km/h
E.  70 km/h
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3 .
A train running between two stations A and B arrives at its destination 10 minutes late when its speed is 50 km/h and 50 minutes late when its speed is 30km/h. What is the distance between the stations A and B ?
A.  40 km
B.  50 km
C.  60 km
D.  70 km
E.  None of these
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4 .
The ratio between the speed of a train and a car is 16 : 15 respectively. Also, a bus covered a distance of 480 km in 8 h. The speed of the bus is three-fourth the speed of the train. How much distance will the car cover in 6 h?
A.  450 km
B.  480 km
C.  360 km
D.  Cannot be determined
E.  None of these
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5 .
Car A runs at the speed of 65 km/h and reaches its destination in 8h. Car B runs at the speed of 70 km/h and reaches its destination in 4h. What is the respective ratio of distances covered by Car A and Car B ?
A.  11 : 7
B.  7 : 13
C.  13 : 7
D.  7 : 11
E.  None of these
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6 .
A bus started its journey from Ramgarh and reached Devgarh in 44 min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5 km/hr, how much time will it take to cover the same distance ?
A.  40 min
B.  38 min
C.  36 min
D.  31 min
E.  49 min
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7 .
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the speed of the car is :
A.  4 : 3
B.  3 : 4
C.  3 : 2
D.  2 : 3
E.  None of these
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8 .
Points A and B are 70 km apart on a highway. One car starts from A and the another one from B at the same time. If they travel in the same direction, they meet in 7 hours. But if they travel towards each other, they meet in one hour. The speeds of the two cars are, respectively.
A.  45 and 25 km/h
B.  70 and 10 km/h
C.  40 and 30 km/h
D.  60 and 40 km/h
E.  None of these
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9 .
A Train which travels at the uniform rate of 10 m a second leaves Madras for Arconum at 7 a.m. At what distance from Madras will it meet a train which leaves Arconum for Madras at 7.20 a.m., and travels one-third faster than the former does, the distance from Madras to Arconum being 68 km?
A.  40
B.  38
C.  36
D.  34
E.  None of these
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10 .
A, B and C can walk at the rates of 3, 4 and 5 km an hour respectively. They start from Poona at 1, 2, 3 o'clock respectively. When B catches A, B sends him back with a message to C. When will C get the message?
A.  5.15
B.  5.20
C.  5.30
D.  6.00
E.  None of these
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11 .
Two men start together to walk a certain distance, one at 3$3 \over 4$ km an hour and the other at 3 km an hour. The former arrives half an hour before the latter. Find the distance
A.  7 km
B.  7.5 km
C.  8 km
D.  8.5 km
E.  None of these
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12 .
A journey of 192 km between two cities takes two hours less by a fast train than by a slow train. If the average speed of the slow train is 16 km/h less than that of the fast train, then the average speed of the fast train is :
A.  36 km/h
B.  64 km/h
C.  32 km/h
D.  48 km/h
E.  None of these
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13 .
A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by train and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the rate of the train is three times that of the horse transit and 1$1 \over 2$ times that of the steamer. Find the rate of the train.
A.  30 km/hr
B.  60 km/hr
C.  80 km/hr
D.  90 km/hr
E.  None of these
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14 .
How many seconds will a train 60 m in length, travelling at the rate of 42 km an hour, rate to pass another train 84 m long, proceeding in the same direction at the rate of 30 km an hour?
A.  42
B.  43.2
C.  45
D.  50
E.  None of these
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15 .
A train 75 metres long overtook a person who was walking at the rate of 6 km an hour, and passed him in 7$1 \over 2$ seconds. Subsequently it overtook a second person, and passed him in 6$3 \over 4$ seconds. At what rate was the second person travelling?
A.  2 km/hr
B.  3 km/hr
C.  5 km/hr
D.  6 km/hr
E.  None of these
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16 .
X and Y start from the same point and run around a circular stadium, whose circumference is 4200 m, at the rate of 500 m and 700 m per minute, respectively in the opposite directions. They will meet each other in :
A.  3.5 min
B.  6.0 min
C.  8.4 min
D.  21 min
E.  None of these
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17 .
A train is running at the rate of 40 kmph. A man is also going in the same direction parallel to the train at the speed of 25 kmph. If the train crosses the man in 48 seconds, the length of the train is _______ metres
A.  100
B.  150
C.  200
D.  250
E.  None of these
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18 .
Train A running at 60 km/h leaves Mumbai for Delhi at 6 p.m. Train B running at 90 km/h also leaves for Delhi at 9 p.m. Train C leaves Delhi for Mumbai at 9 p.m. If all the three trains meet at the same time between Mumbai and Delhi, then what is the speed of train C, if distance between Delhi and Mumbai is 1260 km ?
A.  60 km/h
B.  90 km/h
C.  120 km/h
D.  135 km/h
E.  None of these
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19 .
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph respectively and passes them completely in 9 and 10 seconds respectively. The length of the train is _________ metres.
A.  72 metres
B.  54 metres
C.  50 metres
D.  45 metres
E.  None of these
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20 .
A boat, while going downstream in a river covered a distance of 50 mile at an average speed of 60 miles per hour. While returning, because of the water resistance, it took one hour fifteen minutes to cover the same distance . What was the average speed of the boat during the whole journey?
A.  40 mph
B.  48 mph
C.  50 mph
D.  55 mph
E.  None of these
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21 .
A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr the distance between A and B is ________ km
A.  12
B.  15
C.  18
D.  21
E.  None of these
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22 .
A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10: 30 a.m. At what time do the two trains cross each other ?
A.  7 : 36am
B.  7 : 56am
C.  8 : 36am
D.  8 : 56am
E.  None of these
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23 .
The speed of a boat in still water is 6 km/hr and the speed of the stream is 1.5 km/hr. A man rows to a place at a distance of 22.5 km and comes back to the starting point. Find the total time taken by him
A.  8 hr
B.  9 hr
C.  10 hr
D.  11 hr
E.  None of these
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24 .
A train covered a certain distance at a uniform speed. If the train had been 6 km/h faster, then it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, then the train would have taken 6 hours more than the scheduled time. The length of the journey is
A.  700 km
B.  740 km
C.  720 km
D.  760 km
E.  None of these
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25 .
A train starts from Delhi at 6 : 00 AM and reaches Ambala Cantt at 10 AM. The other train starts from Ambala Cantt at 8 AM and reaches Delhi at 11:30 PM. If the distance between Delhi and Ambala Cantt. is 200 km, then at what time did the two trains meet each other ?
A.  8 : 56 AM
B.  8 : 46 AM
C.  7 : 56 AM
D.  8 : 30 AM
E.  None of these
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26 .
A can row a certain distance down a stream in 6 hours and return the same distance in 9 hours. If the stream flows at the rate of 2$1 \over 4$ km per hour, find how far he can row in an hour in still water.
A.  11$1 \over 4$ km/h
B.  12$1 \over 3$ km/h
C.  13$1 \over 3$ km/h
D.  14$1 \over 3$ km/h
E.  None of these
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27 .
The current of a stream runs at the rate of 4 km an hour. A boat goes 6 km back to the starting point in 2 hours. The speed of the boat in still water is ________ km/hr.
A.  10
B.  12
C.  8
D.  6
E.  None of these
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28 .
A man walked at a speed of 4 km/hr from point A to B and came back from point B to A at the speed of 6 km/hr. What would be the ratio of the time taken by the main in walking from point A to B that from point B to A?
A.  5 : 3
B.  2 : 3
C.  2 : 1
D.  4 : 3
E.  3 : 2
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29 .
A car travels a distance of 560 km in 9.5 hours partly at a speed of 40 $kmh^{-1}$ and partly at 160 $kmh^{-1}$. What is the distance it travels at the speed of 160 $kmh^{-1}$?
A.  120 km
B.  240 km
C.  320 km
D.  360 km
E.  420 km
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30 .
A train after travelling 150 km meets with an accident and then proceeds at 3/5 of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 km further, it would have reached the destination 4 hours late. What is the total distance travelled by the train ?
A.  960 km
B.  870 km
C.  840 km
D.  1100 km
E.  None of these
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31 .
Two trains, 130 m and 110 m long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 seconds. Find the speed of each train.
A.  38 m/sec, 36 m/sec
B.  42 m/sec, 38 m/sec
C.  36 m/sec, 42 m/sec
D.  34 m/sec, 44 m/sec
E.  None of these
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