11.  A man can reach certain place in 30hrs. If he reduce his speed by 1/15th he goes 10 km less in the time.Find his speed?


4 km/hr
5 km/hr
5 1/2 km/hr
6 km/hr


Answer

 Option

Let the speed be x km/hr then 30x - 30*14/15 x = 10= 2x = 10 = x = 5 km/hr

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12.  A train running at 7/11 of its own speed reached a place in 22 hrs.How much time could be save if the train would have run at its own speed?


7 hrs
8 hrs
14 hrs
16 hrs


Answer

 Option

New speed 7/11 of usual speed New time =11/7 of usual time So 11/7 of usual time = 22 hrs = usual time = (22*7/11) = 14 hrs Hence time saved = (22-14) = 8hrs

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13.  A car traveling with 5/7 of its actual speed covers 42 km in 1 hour 40 minutes 48 sec.Find the actual speed of the car.


17 6/7 km/hr
25 km/hr
30 km/hr
35 km/hr


Answer

 Option

Time taken = 1hr 40 minutes 48 seconds = 1hr 44/5 minutes = 1 51/75 hrs = 126/75 hrs Let the actual speed be x km/hr Then 5/7x * 126/75 = 42 or x = (42*7*75/5*126) = 35 km/hr

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14.  Mary jogs 9 km at a speed of 6 km/hr. At what speed would see need to jog during the next 1.5 hrs to have an average of 9 km/hr for the entire jogging session?


9 km/hr
10 km/hr
12 km/hr
14 km/hr


Answer

 Option

Let speed of jogging be X km/hr Total time take = (9/6 hrs + 1.5 hrs) = 3 hrs Total distance covered = ( 9+1.5 + x) km Hence = 9/1.5 x / 3 = 9 = 9 + 1.5 x = 27 = 3/2 x = 18 = x= (18*2/3) = 12 km/hr.

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15.  A car travels the first one-third of a certain distance with a speed of 10 km/hr, the next 1/3rd distance with a speed of 20 km/hr, and the last 1/3rd distance with a speed 60 km/hr. the average speed of the car for the whole journey is?


18 km/hr
24 km/hr
30 km/hr
36 km/hr


Answer

 Option

Le the whole distance traveled be x km/hr and the average speed of the car for the whole journey be y km/hr. Then,( x /3) / 10 + (x/3) / 20 + (x/3) / 60 = x/y = x/30+ x/60+x/180 = x/y = 1/18 y = 1 = y = 18 km/hr

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