Two horses A and B run at a speed of 3:2 ratio in the first lap, during the second lap the ratio differs by 4:7 : during the third lap ther ratio differs by 8:9. What is the difference in ratio of speed altogether between the two horses ?

Options

A. 3
B. 2
C. 4
D. 1

Answer

A

Explanation

Let the speed of A and B in first lap = 3x and 2x.
Speed of A and B in second lap = 4x and 7x
Speed of A and B in third lap = 8x and 9x
Total speed of horse A = 8x + 4x + 3x = 15x
Total speed of horse B = 9x + 7x + 2x = 18x
Difference between A and B = 18x – 15x = 3x
So correct answer is (a).