The ratio of speed A and B is 4:7 and A loses the race by 300m what is the length of race course?
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Given:
✰ The ratio of speed A and B is 4:7
✰ A loses the race by 300
To find:
✠ The length of race course
Solution:
Let, a and b be the speeds of A and B respectively.
Now, we know that the ratio of speed A and B is 4:7
So,
➲ a/b = 4/7
➲ a = 4/7 b
Now, we know that A loses the race by 300 m
➩ b - a = 300
Substitute the value of 'a' in the equation, we have
➩ b - 4/7b = 300
➩ b - 4/7b = 300
Taking L.C.M,
➩ 7b - 4b/7 = 300
➩ 3b/7 = 300
➩ b = 300 × 7/3
➩ b = 100 × 7
➩ b = 700 m
As B reaches at end post first, his run will be equal to length of the tract....
∴ The length of race course or tract = 700 m
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