A bus leaves Kisumu at 9:30 am traveling at 81 km/hr. A matatu leaves Nairobi at 10:10 am traveling at 100 km/hr. How long will it take the matatu to catch up to the bus?

April 10, 2026Mathematics

ScanSolve AI Answer

April 10, 2026

Answer

40 \text{ minutes}$.

Step 1: Calculate the head start distance of the bus. The bus left Kisumu at 9:30 am. The matatu left Nairobi at 10:10 am. The time difference (head start for the bus) is $10:10 am - 9:30 am = 40 \text{ minutes}$ . Convert 40 minutes to hours: $T_{headstart} = \frac{40}{60} = \frac{2}{3} \text{ hours}$ The speed of the bus is $V_B = 81 \text{ km/hr}$ . The distance covered by the bus during its head start is:

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Calculate the head start distance of the bus. The bus left Kisumu at 9:30 am.

Asked on April 10, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 10, 2026

Step 1: Calculate the head start distance of the bus. The bus left Kisumu at 9:30 am. The matatu left Nairobi at 10:10 am. The time difference (head start for the bus) is 10:10 am - 9:30 am = 40 minutes. Convert 40 minutes to hours: T_headstart = (40)/(60) = (2)/(3) hours The speed of the bus is V_B = 81 km/hr. The distance covered by the bus during its head start is: D_head