Question

David ran 100 meters in 51 seconds. Paul ran 1 kilometer in 5 minutes 12 seconds.
Who ran faster? Explain your thinking.

Answer 1

Answer:

Paul ran faster as he covered larger distance than David.

As, ( 1km=1000m)

Step-by-step explanation:

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Answer 2

• Paul runs Faster than David.

Given:

David runs 100 m in 51 seconds.

Paul runs 1 Km in 5 minutes and 12 seconds.

To Find:

Who runs faster?

Solution:

For finding out who runs faster, we have to find the speed for the given distance and time.

And, the speed can be calculated by the formula,

                                              $Speed = \cfrac{Distance}{Time}$

For David's Speed,

                                             $Speed = \cfrac{100}{51}\\\\Speed = 1.96~ms^{-1}~or~m/sec$

Hence the speed gained by David is 1.96 m/sec.

For Paul's Speed,

The time-distance unit should be matched first. So,

                                   $Time = 5*60+12~~~~\{1~minute = 60~ seconds\\Time = 300+12\\Time = 312~seconds$

And,

                              $Distance= 1*1000~~~~~~\{1~Km = 1000~meters\\Distance = 1000 ~meters$

Now the speed is,

                                            $Speed = \cfrac{1000}{312}\\\\Speed = 3.20~ms^{-1}~~~or~~m/sec$

Hence the speed gained by Paul is 3.20 m/sec.

By the above calculations, it can be concluded that Paul runs faster than David.