Multiple choice

Abraham and Lola are participating in a car race. Abraham takes 2 seconds more than Lola. If Abraham doubles his speed, he will take 1 second less than Lola. Find Abraham's speed, if the distance to be covered is 30 metres.

  1. 6 m/sec

  2. 5 m/sec

  3. 4 m/sec

  4. 3 m/sec

  5. 2 m/sec
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Abraham's speed be v and Lola's time be t. Abraham's time = 30/v = t + 2. If speed is 2v, time = 30/(2v) = 15/v = t - 1. Subtracting equations: (30/v) - (15/v) = 3, so 15/v = 3, v = 5 m/sec.

AI explanation

Let Abraham's original speed be v and Lola's time be t. Using the formula time equals distance divided by speed, Abraham's original time is t + 2, which equals 30 divided by v. When Abraham doubles his speed, his new time is t - 1, which equals 30 divided by 2v. Subtracting the second equation from the first yields 3 equals 30 divided by 2v. Solving for v gives 6v equals 30, meaning Abraham's speed is 5 m/sec, so the correct answer is 5 m/sec.

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