Question
Download Solution PDFIn 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In a 1500 m race, Anil beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m.
Concept used:
Time × Speed = Distance
Calculation:
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
∴ Anil beat Charlie by 217.5m.
Shortcut Trick
In a 1500 m race, Anil beats Bakul by 150 m
When Anil completes the race, Bakul covered (1500 - 150) = 1350 m
In a 1500 m race Charles is 75 m behind Bakul
So, in 1350 m race Charles is 75/1500 × 1350 = 67.5 m behind Bakul
So, Charles is (67.5 + 150) = 217.5 m behind from Anil in 1500 m race
∴ Anil beat Charlie by 217.5m.
Last updated on Jun 11, 2025
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