It took Jerry 3 4/5 hours to get to his grandmother's house. He walked for 2/5 hour to the train station, rode on a train for 1 4/5 hours, and then took a bus. How much time did Jerry spend riding on the bus?

Answer :

Answer:

96 minutes or 1 3/5 hours

Step-by-step explanation:

To get this answer properly , we shall be converting any of the time fraction to minutes

The total time taken is 3 4/5 hours

1 hour is 60 minutes, 3 hours is 3 * 60 = 180 minutes

4/5 hours is 4/5 * 60 = 48 minutes

Total travel time is 48 + 180 = 228 minutes

Walking, he did for 2/5 hours = 2/5 * 60 = 24 minutes

Riding on a train took 1 4/5 hours; that would be 60 minutes plus 4/5 * 60 = 48 minutes ; a total time of 108 minutes

Time spent on walking and on train would be 108 minutes + 24 minutes = 132 minutes

The time spent on train would thus be 228 - 132 = 96 minutes = 60 + 36 minutes = 1 hour + 36/60 = 1 hour + 3/5 hours = 1 3/5 hours was spent on the train

By using algebra and taking the difference between the total time of the travel and the time that Jerry wasn't in the bus, we will see that he spent 1 and 3/5 hours riding the bus.

So the total time needed to get to his grandmother's house is:

T = (3 + 4/5) h

We know that:

  • he walked for 2/5 hours
  • he rode on a train for (1 + 4/5) hours

The rest of the time, r, he rode the bus.

Then we have:

(2/5)h + (1 + 4/5) h + r =  (3 + 4/5) h

Now we can solve this for r

r =   (3 + 4/5) h - (1 + 4/5) h  - (2/5)h

r = 2h - (2/5)h = (1 + 3/5)h

So we can conclude that he rode the bus for a total of 1 3/5 hours.

If you want to learn more about algebra, you can read:

https://brainly.com/question/7784687

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