Pregunta
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If Peter travel at a journey takes 40 minutes.
How long does the same joumey takes if he travel at ?
A. 100 minutes
B. 50 minutes
C. 32 minutes
D. 60 minutes
Decrease 90 in the ratio

Ask by Clarke Franklin. in South Africa
Mar 09,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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The journey takes 50 minutes at 80 km/h.

Solución

To solve the problem, we need to determine how long the journey takes when Peter travels at given that it takes minutes at .

Step 1: Calculate the distance of the journey

First, we need to find the distance of the journey using the speed and time at .
  • Speed
  • Time
Using the formula for distance:
we can calculate the distance :

Step 2: Calculate the time taken at

Now, we will find the time taken to cover the same distance at .
  • Speed
Using the formula for time:
we can calculate the time :

Step 3: Convert time to minutes

Now, we convert from hours to minutes:

Conclusion

The time taken for the journey at is minutes.
Thus, the answer is B. 50 minutes.

Additional Task: Decrease 90 in the ratio

To decrease in the ratio , we first find the total parts of the ratio:
Now, we calculate the value of one part:
Now, we decrease by parts:
Finally, we subtract this decrease from :
So, decreasing in the ratio gives us .

Respondido por UpStudy AI y revisado por un tutor profesional

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Mind Expander

To find out how long the journey takes at , we first determine the distance. If Peter travels at for 40 minutes, that translates to hours, equal to hours. Thus, the distance is:
Now, to find the time taken at :
Converting that to minutes gives us . So, the correct answer is B. 50 minutes.
Now, let’s address the ratio problem. To "decrease 90 in the ratio ", we can first divide the total ratio into parts. The total parts in the ratio . Each part corresponds to:
Now, using the ratio , we decrease:
Thus, decreasing in the ratio results in for the first part, and for the second part.

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