6.  A car travels from a place A to B in 7 hour. It covers half the distance at 30 kmph and the remaining distance at 40 kmph, what is the total distance between A and B?


120 km
150 km
240 km
250 km


Answer

 Option

Total distance = x (x/2*30) + (x/20*40) = 7 x = 240

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7.  Two vans start from a place with a speed of 50 kmph at an interval of 12 minutes. What is the speed of a car coming from the opposite direction towards the place if the car meets the vans at an interval of 10 minutes.


10kmph
14kmph
15kmph
16kmph


Answer

 Option

50*12/60 = 10/60*(50+x) 600 = 500+10x x = 10kmph

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8.  A and B set out at the same time to walk towards each other respectively from a place P and Q 144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the ''A'' will meet ''B'' at?


26 km
36 km
56 km
72 km


Answer

 Option

Distance travelled by them in first hour = 12 km Distance tavelled by them in second hour = 13 km and so on In 9 hours both will cover exactly 144 km In 9 hours each will cover half the total distance.

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9.  Sofi started traveling from a place A to B and priya started traveling from a place B to A which are 576 km apart. They meet after 12 hours, after their meeting, sofi increased her speed by 2 km/hr and priya reduced her speed by 2 km/hr, they arrived at B and A respectively at the same time. What is their initial speed?


21 kmph, 23kmph
25kmph,27kmph
25kmph,23kmph
24kmph, 26kmph


Answer

 Option

Sum of their speeds = Distance/time = 576/12 = 48 kmph Respective speed sofi and priya = (25+23) = 48 kmph.

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10.  A boat takes 28 hours for traveling downstream from point A to point B and coming to point C midway between A and B. If the velocity of the stream is 6 km/hr and the speed of the boat in still water is 9 km/hr, what is the distance between A and B?


115 km
120 km
140 km
165 km


Answer

 Option

Downstream speed = 9+6 = 15 Upstream speed = 9-6 =3 Now total time is 28 hours If distance between A and B is d, that distance BC = d/2 Now distance/speed = time, So d/15 + (d/2)/3 = 28 Solve, d = 120 km

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