Question : Directions: 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, and during the third lap their ratio differs by 8:9. What is the difference in the ratio of speed altogether between the two horses?
Option 1: 4
Option 2: 2
Option 3: 3
Option 4: 1
Correct Answer: 1
Solution :
Given:
Two horses A and B run at a speed of 3:2 ratio in the first lap, during the second lap their ratio differs by 4:7, and during the third lap, their ratio differs by 8:9.
Let us consider that the common factor for multiplication for the ratio speeds is x.
So, speeds achieved by A and B during the first, second and third laps are 3x, 4x, 8x and 2x, 7x, 9x
Avg speed achieved by A = (3x + 4x + 8x) ÷ 3= 15x ÷ 3 = 5x
Avg speed achieved by B = (2x + 7x + 9x) ÷ 3 = 18x ÷ 3 = 6x
Ratio of avg speeds of A and B = 5x : 6x = 5 : 6
The difference between the ratio of speeds altogether = 6 – 5 = 1
Therefore, the required difference is 1. Hence, the fourth option is correct.
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