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A, B and C are the three contestants in one km race. If A can give B a start of 40 metres and A can give C a start of 64 metres, how many metres start can B give C? 
A) 20 m B) 21 m C) 25 m D) 34 m Correct Answer : 25 m Explanation : Ratio of the speed of A and B = So ratio of the speed of B and C 
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In a kilometer race, A can beat B by 100 m and B can beat C by 80 m. If A and C run in the same race, by how many meters will A win? 
A) 172 m
B) 178 m
C) 220 m
D) 200 m
Correct Answer : 172 m Explanation : In a km race A can beat B by 100 m so B run 1 m, C run 920/1000 m ie A run 1000 m,B runs 900 m and C run 828 m 
Raman covers 1 km in 8 min while suman covers the same distance in 10 min. By what distance does Raman beat Suman ? 
A) 150 m B) 65 m C) 190 m D) 200 m Correct Answer : 200 m Explanation : Raman covers 1 km in 8 min and suman cover 1 km in 10 min. 
In 1 km race, A beats B by 18 m or 9 s. Find the A' s time over the course? 
A) 391 s B) 591 s C) 491 s D) 500 s Correct Answer : 491 s Explanation : Clearly, B covers 18 m in 9 s. 
In a 100 m race A runs at a speed of 5/3 m/s. If A give a start of 4 m to B and still beats him by 12 seconds, what is speed of B? 
A) 5/4 m/s B) 7/5 m/s C) 4/3 m/s D) 6/5 m/s Correct Answer : 4/3 m/s Explanation : Let the distance is 100 m and speed of B be x m/s. Then, according to the question Speed of B is 4/3 m/s. 
In a 1 km race,A beats B by 28 m or 7 sec.Find A's time over the course? 
A) 2 min ,2 sec B) 3 min ,3 sec C) 4 min ,3 sec D) 5 min ,4 sec Correct Answer : 4 min ,3 sec Explanation : B covers 28 m in 7 sec so,B's time over the course = 7/28 *1000 =250 sec 
A runs 7/4 times as fast as B.If A gives B a start of 84 m,how far must be winning post be so that A and B might reach it at the same time ? 
A) 84 m B) 121 m C) 154 m D) 196 m Correct Answer : 196 m Explanation : If A runs 7/4 times as fast as B Define x: Let x be the constant ratio Solve x: The difference is 84m Find the distance of the winning post: A = 7x = 7*28m = 196 m Winning post must be 196 m away from the starting point 

A can run 1 km in 3 min ,10 sec and B can cover same distance in 3 min 20 sec. By what distance A beat B? 
A) 50 m B) 40 m C) 60 m D) 80 m Correct Answer : 50 m Explanation : A can run 1 km in 3 min 10 sec and Distance covered by B in 3 min 20 sec ie 1000m in 2000sec 
In a 100 m race,A runs at 8 km per hour.If A gives B a start of 4 m and still beats him by 15 sec,what is the speed of B? 
A) 3.7 km/hr B) 4.16 km/hr C) 5.76 km/hr D) 7.71 km/hr Correct Answer : 5.76 km/hr Explanation : A's speed 8 km per hr B's speed =96 m/60 sec = 96*60*60 km/60*1000 hr 
A and B take part in 100 m race .A runs at 5 km per hour. A gives B a start of 8 m and still beats him by 8 sec. What is the speed of B? 
A) 6.14 km/hr B) 2.16 km/hr C) 5.14 km/hr D) 4.14 km/hr Correct Answer : 4.14 km/hr Explanation : 1 km/hr = 1000/60*60 =5/18 m/sec 

A runs 5/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach at the same time? 
A) 200 m B) 300 m C) 240 m D) 340 m Correct Answer : 200 m Explanation : Ratio of the speed of A and B = 5/3 :1 Let x be the constant ratio The difference is 80 m The winning post is the distance A has to run Winning post must be 200 m away from the starting point 
In a 100m race,A covers the distance in 36 sec and B in 45 sec.In this race A beats B by? 
A) 20 m B) 22 m C) 25 m D) 30 m Correct Answer : 20 m Explanation : Distance covered by B in 9secs =100*9/45 =20 m 
In a 200 m race A beats B by 35 m or 7 sec.What is the A's time over the course? 
A) 12 sec B) 19 sec C) 33 sec D) 45 sec Correct Answer : 33 sec Explanation : B runs 35 m in 7 sec 
In a 300 m race A beats B by 22.5 m or 6 sec.What is the B's time over the course? 
A) 92 sec B) 80 sec C) 73.5 sec D) 65 sec Correct Answer : 80 sec Explanation : B runs 22.5 m in 6 sec 
A can run 22.5 m while B runs 25 m.In a kilometre race B beats A by? 
A) 100 m B) 140 m C) 180 m D) 200 m Correct Answer : 100 m Explanation : B runs 25 m ,A runs 22.5 m 
In a 500 m race, the ratio of the speeds of two contestants A and B is 3:4. A has a start of 140 m.Then ,A win by B? 
A) 10 m B) 14 m C) 18 m D) 20 m Correct Answer : 20 m Explanation : A covers 500140 = 360 m Therefore,A wins by (500480)= 20 metres 
In a 100m race,A can beat B by 25 m and B can beat C by 4m.In the same race A can beat by C? 
A) 14 m B) 28 m C) 42 m D) 56 m Correct Answer : 28 m Explanation : Ratio of speeds of A:B =100 :75 So, A beats C by 100  72 m=28 m 