Math

QuestionHugo runs 4 miles in 25 minutes. How many more miles can he run in 90 minutes than in 25 minutes?

Studdy Solution

STEP 1

Assumptions1. Hugo runs4 miles in25 minutes. . Hugo runs at a constant rate.
3. The relationship between time and distance is proportional.

STEP 2

First, we need to find out how many miles Hugo runs per minute. We can do this by dividing the total distance by the total time.
Milesperminute=Totalmiles/TotalminutesMiles\, per\, minute = Total\, miles / Total\, minutes

STEP 3

Now, plug in the given values for the total miles and total minutes to calculate the miles per minute.
Milesperminute=miles/25minutesMiles\, per\, minute =\, miles /25\, minutes

STEP 4

Calculate the miles per minute.
Milesperminute=4/25=0.16miles/minuteMiles\, per\, minute =4 /25 =0.16\, miles/minute

STEP 5

Now that we have the rate at which Hugo runs, we can find out how many miles he runs in90 minutes by multiplying the rate by the time.
Milesin90minutes=Milesperminutetimes90minutesMiles\, in\,90\, minutes = Miles\, per\, minute \\times90\, minutes

STEP 6

Plug in the values for the miles per minute and the time to calculate the miles in90 minutes.
Milesin90minutes=0.16miles/minutetimes90minutesMiles\, in\,90\, minutes =0.16\, miles/minute \\times90\, minutes

STEP 7

Calculate the miles in90 minutes.
Milesin90minutes=0.16times90=14.4milesMiles\, in\,90\, minutes =0.16 \\times90 =14.4\, miles

STEP 8

Now that we have the total miles Hugo runs in90 minutes, we can find out how many more miles he runs in90 minutes than in25 minutes by subtracting the miles he runs in25 minutes from the miles he runs in90 minutes.
Additionalmiles=Milesin90minutesMilesin25minutesAdditional\, miles = Miles\, in\,90\, minutes - Miles\, in\,25\, minutes

STEP 9

Plug in the values for the miles in90 minutes and the miles in25 minutes to calculate the additional miles.
Additionalmiles=14.4miles4milesAdditional\, miles =14.4\, miles -4\, miles

STEP 10

Calculate the additional miles.
Additionalmiles=14.44=10.4milesAdditional\, miles =14.4 -4 =10.4\, milesHugo can run10.4 more miles in90 minutes than in25 minutes.

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