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Andrew participates in a 100-meter freestyle event at an international swimming competition. One lap of the race is 50 meters. Andrew swims 7/11 of a lap in 1/3 of a minute.

Andrew's unit rate for swimming is how many laps per minute ?


A: 1/11

B: 1 3/7

C:1 10/11

D:2 1/3

Verified Answer :

the answer 
Andrew swims 7/11 of a lap in 1/3 of a minute means
v=7/11 : 1/3 =3 x 7 / 11= 21 /11

Andrew's unit rate of swimming is \(1\frac{10}{11} \ laps \ per \ minute\). The correct option is C:1 10/11

From the question,

Andrew swims 7/11 of a lap in 1/3 of a minute.

To determine Andrew's unit rate for swimming in laps per minute, we will divide the distance Andrew covers by the time spent to cover that distance.

Using the formula,

\(Rate =\frac{Distance}{Time}\)

From the question

Distance = 7/11 lap

and

Time = 1/3 minute

Then,

\(Rate = \frac{7}{11} \div \frac{1}{3}\)

\(Rate = \frac{7}{11} \times \frac{3}{1}\)

\(Rate = \frac{21}{11}\)

∴ \(Rate = 1\frac{10}{11} \ laps \ per \ minute\)

Hence, Andrew's unit rate of swimming is \(1\frac{10}{11} \ laps \ per \ minute\). The correct option is C:1 10/11

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