If A runs less fast than B, and B runs as fast but not faster than C; then, as compared to A, C runs

Question

Accepted Answer

Let SA, SB, and SC be the speeds of A, B, and C respectively.

1.  "A runs less fast than B" translates to: SA < SB
2.  "B runs as fast but not faster than C" translates to: SB <= SC (B's speed is less than or equal to C's speed)

Now, combine these two relationships:
We have SA < SB and SB <= SC.

From these, it logically follows that SA < SC.

This means that C's speed (SC) is greater than A's speed (SA). Therefore, C runs faster than A.

Analyzing the options:
A) slower than A: This would mean SC < SA, which contradicts our finding.
B) faster than A: This means SC > SA, which matches our finding.
C) with same speed as A: This would mean SC = SA, which contradicts our finding.
D) Given data is not sufficient to determine: We were able to determine the relationship between A and C's speeds.

The final answer is B.

Answer

slower than A

Answer

faster than A

Answer

with same speed as A

Answer

Given data is not sufficient to determine

If A runs less fast than B, and B runs as fast but not faster than C; then, as compared to A, C runs

Explanation

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