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Two sprinters run the same race of100 m One runs at a speed of 10 m/s and the other runs at 8 m/s. By what time will the first sprinter beat the other sprinter?
- a)1.5 sec
- b)2 sec
- c)2.5sec
- d)3 sec
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two sprinters run the same race of100m One runs at a speed of10m/s and...
To determine the time it takes for the first sprinter to beat the second sprinter, we need to compare their speeds and calculate the time it takes for the first sprinter to cover a distance of 100m.
Let's start by calculating the time it takes for each sprinter to cover 100m:
- Sprinter 1 runs at a speed of 10m/s, so the time it takes for Sprinter 1 to cover 100m is:
Time = Distance / Speed = 100m / 10m/s = 10 seconds
- Sprinter 2 runs at a speed of 8m/s, so the time it takes for Sprinter 2 to cover 100m is:
Time = Distance / Speed = 100m / 8m/s = 12.5 seconds
From the above calculations, we can see that Sprinter 1 takes 10 seconds to cover 100m, while Sprinter 2 takes 12.5 seconds to cover the same distance.
Now, let's find out the time difference between the two sprinters:
- Time difference = Time taken by Sprinter 2 - Time taken by Sprinter 1
Time difference = 12.5 seconds - 10 seconds = 2.5 seconds
Therefore, the first sprinter beats the second sprinter by a time difference of 2.5 seconds. Hence, the correct answer is option 'C' - 2.5 seconds.
Let's start by calculating the time it takes for each sprinter to cover 100m:
- Sprinter 1 runs at a speed of 10m/s, so the time it takes for Sprinter 1 to cover 100m is:
Time = Distance / Speed = 100m / 10m/s = 10 seconds
- Sprinter 2 runs at a speed of 8m/s, so the time it takes for Sprinter 2 to cover 100m is:
Time = Distance / Speed = 100m / 8m/s = 12.5 seconds
From the above calculations, we can see that Sprinter 1 takes 10 seconds to cover 100m, while Sprinter 2 takes 12.5 seconds to cover the same distance.
Now, let's find out the time difference between the two sprinters:
- Time difference = Time taken by Sprinter 2 - Time taken by Sprinter 1
Time difference = 12.5 seconds - 10 seconds = 2.5 seconds
Therefore, the first sprinter beats the second sprinter by a time difference of 2.5 seconds. Hence, the correct answer is option 'C' - 2.5 seconds.
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Community Answer
Two sprinters run the same race of100m One runs at a speed of10m/s and...
Correct option is C
Time taken by first sprinter
= 100/10 = 10sec
Time taken by second sprinter
= 100/80 = 12.5sec
Difference = 12.5 - 10 = 2.5 sec
Time taken by first sprinter
= 100/10 = 10sec
Time taken by second sprinter
= 100/80 = 12.5sec
Difference = 12.5 - 10 = 2.5 sec
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Two sprinters run the same race of100m One runs at a speed of10m/s and the other runs at8m/s. By what time will the first sprinter beat the other sprinter?a)1.5secb)2secc)2.5secd)3secCorrect answer is option 'C'. Can you explain this answer?
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