In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
Answer: B
A : B = 200 : 169.
A : C = 200 : 182.
C/A = (C/A x A/B) = (182/200 x 200/169) = 182 : 169.
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers (169/182 x 350) m = 325 m.
Therefore, C beats B by (350 - 325) m = 25 m.
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In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:
Answer: B
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A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Answer: D
A can give B (5 min - 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100m start.
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Karan and Arjun run a 100-meter race, where Karan beats Arjun by 10 meters. To do a favour to Arjun, Karan starts 10 meters behind the starting line in a second 100-meter race. They both run at their earlier speeds. Which of the following is true in connection with the second race?
Answer: D
In a 100 meters race, when Karan runs 100 meters, Arjun runs 90 meters. Since time is constant, the ratio of distances is equal to the ratio of speeds. So, the ratio of speeds of Karan and Arjun is 100:90 = 10:9. In the second case, Karan will have to run 110 meters to complete the race. In this case, the ratio of distances travelled will be equal to the ratio of speeds 10:9. So, when Karan runs 110 meters, Arjun will run (110 x 9)/10 = 99 meters, i.e., he needs to cover 1 meter to complete the race. In other words, Karan beats Arjun by 1 meter.
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At a game billiards, A can give B 10 points in 60 and he can give C 15 in 60. How many can B can give C in a game of 90?
Answer: A
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In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C :
Answer: B
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A can run 1 km in 4 min.54 sec. and B in 5 min. How many meters start can A give B in a km race so that the race may end in a dead heat?
Answer: C
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In a game of 200m race, A can win B by 50 m and B can win C by 8 m. In the same race, A can win C by:
Answer: C
Given that, A can win B by 50 m.
That is, When A runs 200 m then B can run (200 - 50 = )150 m.
And, B can win C by 8 m means, When B runs 200 m then C can run (200 - 8 =) 192 m.
Therefore, A:B = 200:150 and B:C = 200:192
We have to find A: C.
A:C = A/C = A/B x B/C = (200 / 150) x ( 200 / 192) = (4 / 3) x (200 / 192) = 200 / (3 x 48) = 200 /1 44
That is, A:C = 200:144.
Hence, A wins C by 200-144 m = 56 m.
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A is 2 1/3 times as fast as B. If A gives B a start of 80 m, how long should the race course be so that both of them reach at the same time?
Answer: C
Speed of A : Speed of B = 7/3 : 1 = 7 : 3
It means, in a race of 7 m, A gains (7-3)=4 meter
If A needs to gain 80 metre, race should be of 7/4×80 = 140 metre
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In a 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by :
Answer: A
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