Time And Distance

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Question
SSCCGLENQA12042620

A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is

  • 2 : 1

  • 1 : 2

  • 4 : 3

  • 3 : 1

Solution

D.

3 : 1

Let the speed of the boat in still water be x kmph. 
Speed of current be y kmph. 
∴  Rate downstream  = (x + y) kmph
   Rate upstream = (x - y) kmph
Distance  = Speed x Time
∴     (x - y) x 2t = (x + y) x t
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Question
SSCCGLENQA12042477

A bus travels 150 Km in 3 hours and then travel next 2 hours at 60 Km/hr. Then the average speed of the bus will be

  • 55 km/hr

  • 54 km/hr

  • 50 km/hr

  • 60 km/hr

Solution

B.

54 km/hr

Total distance covered by the bus  = (150 km + 2 x 60) km
                                                 = (150 + 120) km  = 270 km
∴  Average speed 
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Question
SSCCGLENQA12043261

A car can finish a certain journey in 10 hours at the speed of 42 kmph. In order to cover the same distance in 7 hours, the speed of the car (km/h) must be increased by

  • 12

  • 15

  • 18

  • 24

Solution

C.

18

Distance covered by car = Speed x Time = 42 x 10 = 420 km.
New time = 7 hours
therefore space space space Required space speed space equals space 420 over 7 space equals space 60 space kmph
Thus, Required increase in speed = (60 - 42) kmph = 18 kmph

Question
SSCCGLENQA12042869

A car covers 1 fifth of the distance from A to B at the speed of 8km/hr, 1 over 10 of the distance at 25 km per hour and the remaining at the speed of 20 km per hour. Find the average speed of the whole journey.

  • 12.625 km/hr

  • 13.625 km/hr

  • 14.625 km/hr

  • 15.625 km/hr

Solution

D.

15.625 km/hr

Let the total distance be 1 km.
∴ Total time   open square brackets Time space equals space Distance over Speed close square brackets
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rightwards double arrow space space space space Average space Speed space equals space space space open square brackets fraction numerator Total space distance over denominator Time space taken end fraction close square brackets space equals space 125 over 8 space equals space 15.625 space kmph
   

Question
SSCCGLENQA12043176

A car covers four successive 7km distances at speeds of 10 km/hour, 20 km/hour, 30 km/hour and 60 km/hour respectively. Its average speed over this distance is

  • 30 km/hour

  • 20 km/hour

  • 60 km/hour

  • 40 km/hour

Solution

B.

20 km/hour

Total distance covered = 7 x 4 = 28 km
Total time taken
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Average Speed
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1