Question
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Every morning, he goes to school by taking the school bus and comes back using his spider superpowers. The total time taken for the round trip in both directions is 1 hour and 30 minutes. If he were to go both directions using his superpowers, it would only take 30 minutes. How much time would he spend if he were to go both directions by bus? A. 2 hours and 30 minutes B. 1 hour C. 2 hours D. 1 hour and 15 minutes

Ask by Schwartz Lawson. in Cambodia
Mar 09,2025

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Tutor-Verified Answer

Answer

He would spend 2 hours and 30 minutes going both directions by bus.

Solution

Let \( T_b \) be the bus time for one direction and \( T_s \) be the time using superpowers for one direction. 1. According to the problem, the total time for going to school by bus and coming back by superpowers is: \[ T_b + T_s = 90 \text{ minutes} \] 2. It is also given that if he uses his superpowers both ways, the total time is: \[ 2T_s = 30 \text{ minutes} \] Solving for \( T_s \): \[ T_s = \frac{30}{2} = 15 \text{ minutes} \] 3. Substitute \( T_s = 15 \) minutes into the first equation to find \( T_b \): \[ T_b + 15 = 90 \quad \Rightarrow \quad T_b = 90 - 15 = 75 \text{ minutes} \] 4. If he goes both directions by bus, the total time would be: \[ 2T_b = 2 \times 75 = 150 \text{ minutes} \] Converting minutes to hours: \[ 150 \text{ minutes} = 2 \text{ hours and } 30 \text{ minutes} \] Thus, if he were to go both directions by bus, he would spend \( \boxed{2 \text{ hours and } 30 \text{ minutes}} \).

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Let’s break it down! He takes the school bus one way, and spends a total of 1 hour and 30 minutes for the round trip. If using his spider superpowers for the round trip only takes 30 minutes, we can deduce the total time spent on the bus. Let’s assume the time taken by bus one-way is \( x \). Therefore, \( x + 30 \) (for the other direction) equals 90 minutes (the total round trip time). That leads us to find that the bus trip one way is 60 minutes, making the round trip using the bus \( 60 \times 2 = 120 \) minutes = 2 hours. So if he went both ways by bus, he would spend **C. 2 hours**! And there you have it — a super-heroic math adventure that leads to the answer! Just imagine him swinging into school, all while calculating time!

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