26.  A person travels equal distances with speeds of 3km/hr 4km/hr and 5km/hr and takes a total time of 47 minutes.The total distance (in km) is:


5
4
3
2


Answer

 Option

Let the total distance be 3x km.Then, x/3+x/4+x/5= 47/60 47x/60=47/60 = x=1 Total distance =(3*1) km = 3km

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27.  A can complete a journey in 10 hours.He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr.Find the total journey in km.


220 km
224km
230km
234km


Answer

 Option

Let the total distance be x km.Then, 1/2 x/21 + 1/2x/24 = 10 = x/21+x/24 = 20 15x = 168*20 = x = (168*20/15) = 224 km

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28.  A man performs 3/5 of the total journey by rail 17/20 by bus and the remaining 6.5 km on foot.His total journey is?


65 km
100 km
120 km
130 km


Answer

 Option

Let the total journey be x km. Then 3x/5 + 7x/20 + 6.5 = x 12x+7x+20x*6.5 = 20x = x= 130km

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29.  A person has to cover a distance of 6 km in 45 minutes.If he covers one-half of the distance in two-thirds of the total time to cover the remaining distance in the remaining time his speed (in km/hr) must be:


6
8
12
15


Answer

 Option

Remaining distance = 3km and remaining time = (1/3*45) min = 15 min = 1/4 hour Required speed = ( 3*4) km/hr = 12 km/hr

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30.  A sales man travels a distance of 50 km in 2 hrs and 30 minutes.How much faster in kilometers per hour on an average must he travel to make such a trip in 5/6 hour less time?


10
20
30
None of these


Answer

 Option

Time required = ( 2hrs 30 min - 50 min) = 1 hr 40 min = 1 2/3 hrs Required speed = (50*3/5) km/hr =30 km/hr Original speed = (50* 2/5) km/hr = 20 km/hr Difference in speed = (30 -20) km/hr = 10km/hr

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