1.  A travel bus normally reaches its destination at 60 kmph in 20 hours. Find the speed of that travel bus at which it travels to reduce the time by 5 hours?


80 kmph
60 kmph
50 kmph
40 kmph


Answer

 Option

60*20 = x * 15 x = 80 kmph

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2.  A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr.The man's speed against the current is:


8.5 km/hr
9 km/hr
10 km/hr
12.5 km/hr


Answer

 Option

Man's rate still in water = (15-2.5) km/hr = 12.5 km/hr Man's rate against the current = (12.5-2.5) = 10 km/hr

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3.  A truck travelled to a place Q from P, The first 50 km at 10 kmph faster than the usual speed, but it returned the same distance at 10 kmph slower than usual speed. If the total time taken by the truck is 12 hours, then how many hours will travel at the faster speed?


8 hours
6 hours
2 hours
3 hours


Answer

 Option

Total time taken, {50/(x - 10)} + 50/(x+10)} = 12 hours By solving the equation, we get x = 15 time is taken by the truck at faster speed = 50/(15+10) = 2 hours.

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4.  There is a road beside a river.Two friends started from a place A moved to a temple situated at another place B and then returned to A again.One of them moves on a cycle at a speed of 12 km/hr while the other sails on a boat at a speed of 10 km/hr.If the river flows at the speed of 4 km/hr which of the two friends will return to place A first?


7 km/hr
8 km/hr
8.4 km/hr
9.2 km/hr


Answer

 Option

Clearly the cyclist moves both ways at a speed of 12 km/hr so average speed of the cyclist = 12 km/hr The boat sailor moves downstream at ( 10+4) i.e, 14 km/hr and upstream at (10-4) i.e, 6 km/hr So average speed of the boat sailor =(2*14*6/14+6) km/hr = 42/5 km/hr = 8.4 km/hr since the average speed of the cyclist is greater he will return to A first.

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5.  A man can row at 18 km/ph in still water.It takes him thrice as long to row up as to row down the river.Find the rate of stream.


6 km/hr
7 km/hr
9 km/hr
8 km/hr


Answer

 Option

Let man's rate upstream be X km/ph.Then his rate downstream = 3x km/ph Rate in still water = 1/2 (3x+x) km/ph =2x 2x = 18 so X= 9 Rate upstream = 9 km/hr; Rate downstream = 27 km/hr Hence rate of stream = 1/2 ( 27-9) km/hr = 9 km/hr

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