A rectangular field is 72 m by 58 m. Amar walks around it at a rate of 3 km per hour. What time will he take in taking 2 rounds?

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10.4 min

11.5 min

18 min

9.2 min

answer is A.

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Detailed Solution

  Concept- First, we will calculate the perimeter of the field and then apply distance, speed and time formula to calculate time.
Given : rectangular field dimensions (i.e. 72 m by 58 m)
Therefore, the perimeter of the field =2 l+b m
     =2 72+58 m
     =2×130
     =260 m
Total distance covered by Amar = 2 rounds of the field
      =2×260
      =520 m
Speed of Amar = 3km/hr =3×10003600 m/s    (1km = 1000m, 1hr = 3600s)
    = 56 m/s
He covers 56 m in 1 second.
Therefore, he covers 520 m in 56056 seconds 560×65= 424 s 42460 min = 10.4 min       (1 min = 60 seconds)
Hence, the total time taken by Amar is 10.4 min.

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