6.  A train travels at an average of 50 miles per hour for 2 1/2hours and then travels at a speed of 70 miles per hour for 1 1/2 hours. How far did the train travel in the entire 4 hours?


120 miles
150 miles
200 miles
230 miles


Answer

 Option

Total distance traveled = {(50*2 1/2)+(70*1 1/2)} miles =(125+105) miles = 230 miles.

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7.  A farmer traveled a distance of 61km in9 hrs. He traveled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr.The distance traveled on foot is:


14 km
15 km
16 km
17 km


Answer

 Option

Let the distance traveled on foot be x km then distance traveled on bicycle =(61-x)km so x/4 + (61-x)/9-9 =9x+ 4(61-x) = 9*36 = 5x =80 = x=16km

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8.  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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9.  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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10.  A is twice as fast as B and B is thrice as fast as C is. the journey covered by C in 54 minutes will be covered by B in?


18 min
27 min
38 min
9 min


Answer

 Option

Let C's speed = x km/hr. then, B's speed = 3x km/hr and A 's speed = 6x km/hr. Hence, ratio of speed of A,B,C = 6x : 3x : x = 6 : 3: 1. Ratio of times taken = 1/6 : 1/3 : 1= 1 : 2 : 6. If C takes 6 min., then B takes 2 min. If C takes 54 min., then B takes (2/6*54) min. = 18 min.

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