Multiple choice

A starts walking at 4 kmph and after 4 hours, B starts cycling from the same point as that of A, in the same direction at 10 kmph. After how much distance from the starting point will B catch up with A (correct to two decimal places)?

  1. 24.67 km

  2. 26.67 km

  3. 25.67 km

  4. 23.67 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance A travels in 4 hours = 4 * 4 = 16 km. Relative speed = 10 - 4 = 6 kmph. Time for B to catch A = 16 / 6 = 2.666... hours. Distance from starting point = 10 * 2.666... = 26.67 km.

AI explanation

In the 4 hours before B starts, A builds a lead of 16 kilometers by walking at 4 kmph. Since B travels at 10 kmph and A at 4 kmph, their relative speed is 6 kmph. The time B requires to close the 16-kilometer gap is 16 divided by 6, which is 2.66 hours. In 2.66 hours, B covers a distance of 10 kmph multiplied by 2.66 hours, equaling 26.67 kilometers. B catches up with A at a distance of 26.67 kilometers.

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