In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. Anita, Morrison, Naveen, Pramod, Maria take part in a 1000 m race. Maria finishes the race in 180 secs. Is she the fastest of them all? Statement I∶ Morrison covers 25 m for every 20 m covered by Anita. Statement II∶ Naveen takes 16 secs to cover a distance of 80 m. Also, Morrison covers 25 m for every 20 m covered by Naveen. Statement III∶ Pramod covers 40 m for every 25 m covered by Anita.
In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. Anita, Morrison, Naveen, Pramod, Maria take part in a 1000 m race. Maria finishes the race in 180 secs. Is she the fastest of them all? Statement I∶ Morrison covers 25 m for every 20 m covered by Anita. Statement II∶ Naveen takes 16 secs to cover a distance of 80 m. Also, Morrison covers 25 m for every 20 m covered by Naveen. Statement III∶ Pramod covers 40 m for every 25 m covered by Anita. Correct Answer Statement II alone is sufficient to answer the question.
Maria covers 1000 m in 180 secs, so her speed will be 1000/180 = 5.55 m/s
Now, Naveen takes 16 secs to cover 80 m, so his speed will be 5 m/s.
Morrison covers 25 m for every 20 m covered by Naveen.
Ratio of distance covered by Morrison to that of Naveen is 5 : 4.
So the ratio of their speeds will be 5 : 4, that means speed of Morrison will be (5 × 5)/4 = 6.25 m/s.
Hence, Maria is not the fastest.