In a 1500 m race, Anil beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1. i.e. 217.50 m .
According to the question,
Anil goes 1500m while Bakul goes (1500 - 150) i.e. 1350m.
Ratio of speed of Anil and Bakul = 1500 : 1350 = 10 : 9 = 200 : 180
According to the question,
Bakul goes 1500m while Charlie goes (1500 - 75) i.e. 1425m.
Ratio of speed of Bakul and Charlie = 1500 : 1425 = 20 : 19 = 180 : 171
So, the ratio of the speeds of Anil, Bakul, and Charlie = 200 : 180 : 171
Let the speeds of Anil, Bakul, and Charlie be 200k, 180k, and 171k m/s respectively.
Time taken by Anil to finish the race = 1500/200k = 7.5/k seconds
Now, Anil beats Charlie by = (200 - 171)k ×7.5/k = 217.5m