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stellarik [79]
3 years ago
11

Ivan biked 4 2 3 hours on Monday, 1 1 3 hour on Tuesday, and 2 2 3 hours on Wednesday. What is the total number of hours Ivan sp

ent biking? Enter the correct answer to complete the statement. Express your answer as a mixed number with a fractional part less than 1. Choose the number of hours Ivan spent biking.
Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer: 8 2/3 hours

Step-by-step explanation:

From the question, Ivan biked 4 2/3 hours on Monday, 1 1/3 hour on Tuesday, and 2 2/3 hours on Wednesday.

The total number of hours Ivan spent biking will be:

= 4 2/3 + 1 1/3 + 2 2/3

= 8 2/3 hours

Therefore, the total hours spent biking is 8 2/3 hours

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Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

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You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

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