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A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer is
- a)2 minutes 25 seconds
- b)2 minutes 50 seconds
- c)3 minutes 20 seconds
- d)3 minutes 30 seconds
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A and B run a kilometer and A wins by 25 sec. A and C run a kilometer ...
Let’s put all together,
A finishes first, B second and C lastly.
B finishes 25 sec after A, C finishes 30 sec after B
C finishes after A by = 25 + 30 = 55sec
Total distance by which A wins from C = 275m
C will take = (55 × 1000)/275 = 200sec
200sec = 180 sec + 20 sec = 3min 20sec
∴ A will take 3min 20sec - 55 sec = 2 min 25 sec
∴ A will take 3min 20sec - 55 sec = 2 min 25 sec
Most Upvoted Answer
A and B run a kilometer and A wins by 25 sec. A and C run a kilometer ...
Given Information:
- A and C run for a kilometre, and A wins by 275 metres.
- B wins by 30 secs.
To Find: How much time is taken by A in finishing one kilometre race when B and C run for the same distance.
Solution:
Let's assume the speed of A, B, and C be S_A, S_B, and S_C respectively.
- A and C run for a kilometre, and A wins by 275 metres.
So, the distance covered by A and C is 1 km (1000 m) and A wins by 275m. Therefore,
Distance covered by A = 1000m
Distance covered by C = 1000m - 275m = 725m
Now, we can equate the time taken by A and C using the formula:
Time = Distance/Speed
So, we get:
Time taken by A = 1000/S_A
Time taken by C = 725/S_C
As both A and C cover the same distance, their time taken should be the same. Therefore,
1000/S_A = 725/S_C
- B wins by 30 secs.
Let's assume the time taken by B to cover 1 km is T_B.
So, we can say that,
T_A = T_B + 30 (As B wins by 30 secs)
Now, we can use the formula:
Speed = Distance/Time
To find the speed of A and B.
Speed of A, S_A = 1000/T_A
Speed of B, S_B = 1000/T_B
We can also use the formula:
S_A - S_C = 275 (As A wins by 275m)
Simplifying the above equation, we get:
1000/T_A - 1000/T_C = 275
Substituting T_A in terms of T_B, we get:
1000/(T_B+30) - 1000/(725*S_A/1000) = 275
Simplifying the above equation, we get:
T_B = 150 seconds
Therefore, the time taken by A to cover 1 km is:
T_A = T_B + 30 = 150 + 30 = 180 seconds
Converting seconds into minutes and seconds, we get:
= 3 minutes 0 seconds
Therefore, the correct answer is option A) 2 minutes 25 seconds.
- A and C run for a kilometre, and A wins by 275 metres.
- B wins by 30 secs.
To Find: How much time is taken by A in finishing one kilometre race when B and C run for the same distance.
Solution:
Let's assume the speed of A, B, and C be S_A, S_B, and S_C respectively.
- A and C run for a kilometre, and A wins by 275 metres.
So, the distance covered by A and C is 1 km (1000 m) and A wins by 275m. Therefore,
Distance covered by A = 1000m
Distance covered by C = 1000m - 275m = 725m
Now, we can equate the time taken by A and C using the formula:
Time = Distance/Speed
So, we get:
Time taken by A = 1000/S_A
Time taken by C = 725/S_C
As both A and C cover the same distance, their time taken should be the same. Therefore,
1000/S_A = 725/S_C
- B wins by 30 secs.
Let's assume the time taken by B to cover 1 km is T_B.
So, we can say that,
T_A = T_B + 30 (As B wins by 30 secs)
Now, we can use the formula:
Speed = Distance/Time
To find the speed of A and B.
Speed of A, S_A = 1000/T_A
Speed of B, S_B = 1000/T_B
We can also use the formula:
S_A - S_C = 275 (As A wins by 275m)
Simplifying the above equation, we get:
1000/T_A - 1000/T_C = 275
Substituting T_A in terms of T_B, we get:
1000/(T_B+30) - 1000/(725*S_A/1000) = 275
Simplifying the above equation, we get:
T_B = 150 seconds
Therefore, the time taken by A to cover 1 km is:
T_A = T_B + 30 = 150 + 30 = 180 seconds
Converting seconds into minutes and seconds, we get:
= 3 minutes 0 seconds
Therefore, the correct answer is option A) 2 minutes 25 seconds.
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A and B run a kilometer and A wins by 25 sec. A and C run a kilometer ...
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A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer isa)2 minutes 25 secondsb)2 minutes 50 secondsc)3 minutes 20 secondsd)3 minutes 30 secondsCorrect answer is option 'A'. Can you explain this answer?
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A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer isa)2 minutes 25 secondsb)2 minutes 50 secondsc)3 minutes 20 secondsd)3 minutes 30 secondsCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer isa)2 minutes 25 secondsb)2 minutes 50 secondsc)3 minutes 20 secondsd)3 minutes 30 secondsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer isa)2 minutes 25 secondsb)2 minutes 50 secondsc)3 minutes 20 secondsd)3 minutes 30 secondsCorrect answer is option 'A'. Can you explain this answer?.
A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer isa)2 minutes 25 secondsb)2 minutes 50 secondsc)3 minutes 20 secondsd)3 minutes 30 secondsCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer isa)2 minutes 25 secondsb)2 minutes 50 secondsc)3 minutes 20 secondsd)3 minutes 30 secondsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer isa)2 minutes 25 secondsb)2 minutes 50 secondsc)3 minutes 20 secondsd)3 minutes 30 secondsCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A and B run a kilometer and A wins by 25 sec. A and C run a kilometer and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometer isa)2 minutes 25 secondsb)2 minutes 50 secondsc)3 minutes 20 secondsd)3 minutes 30 secondsCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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