1.  With a uniform speed a car covers the distance in 8 hours.Had the speed been increased by 4km/hr, The same distance could have been covered in 7 1/2 hrs.What is the distance covered?


420 km
480 km
640 km
None of these


Answer

 Option

Let the distance be x km then x/7 1/2 - x/8 =4 = 2x/15 - x/8 = 4 = x = 480km

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2.  Which of the following trains is the fastest?


25 m/sec
1500 m/min
90 km/hr
None of these


Answer

 Option

25 m/sec = (25 * 18/5) km/hr = 90 km/hr. And 25 m/sec = (25 * 60) m/min = 1500 m/min. So, all the three speeds are equal.

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3.  Walking 6/7th of his usual speed, a man is 12 minute too late. The usual time taken by him to cover that distance is?


1 hr
1 hr 12 mins
1 hr 15 mins
1 hr 20 mins


Answer

 Option

New speed = 6/7 of usual speed New time = 7/6 of usual time (7/6 of usual time) - (usual time) = 1/5 hrs 1/6 of usual time = 1/5 hrs usual time = 6/5 hrs = 1hr 12mins

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4.  Two men starting from the same place walk at the rate of 5 km/hr and 5.5 km/hr respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?


4 hrs 15 min
8 hrs 30 min
16 hrs
17 hrs


Answer

 Option

To be 0.5 km apart, they take 1 hour. To be 8.5 km apart, they take (1/0.5*8.5) hrs = 17 hrs.

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5.  The speed of a car increases by 2 km after everyone hour. If the distance traveled in the first one hour was 35 km, what was the total distance traveled in the first one hour was 35 km, what was the total distance traveled in 12 hours?


456 km
482 km
552 km
None of these


Answer

 Option

Total distance traveled in 12 hours = (35+37+39+..... up to 12 terms). This is an A.P. with first term, a = 35, number of terms, n=12, common difference, d=2. Therefore required distance = 12/2 (2*35+(12-1)*2) = 6(70+22) =552 km.

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