Cassondra H.

asked • 08/30/15

A male child speeds 4 miles down a mountain slope in 10 mins. What is his boilerplate speed in miles per hour (mph) over that time interval?

I'm trying to solve these math bug and need a fiddling.

ii Answers Past Expert Tutors

Michelle B. answered • 08/30/xv

Former Loftier School Math Teacher

If he travels iv miles in 10 minutes, then he is going four/10 miles/infinitesimal.  That simplifies to 2/5 miles/minute.  But you want miles per hr.  There are threescore minutes in i hour, and so yous need to determine if you're going to multiply or divide by the 60.  In gild to cancel the minutes, I demand to multiply by the 60.

two/five x 60 = 24miles/minutes x minutes/hour= miles/hour

Then the male child is going 24 miles per hr.

Lori G.

Where does the 2/five come up from

Hashemite kingdom of jordan K. answered • 08/30/15

Nationally Certified Math Teacher (grades half dozen through 12)

Hi Cassondra,

This problem involves a conversion from minutes to hours, which we tin setup this way using our given speed ratio and our units conversion ratio:

    mph = (four miles / 10 min.)(lx min. / hour.)

The minutes in the denominator of the 1st ratio and in the numerator of the 2nd ratio cancel each other out and we're left with mph:

mph = (40 10 60) / 10 = 2400 / 10 = 24

Thanks for submitting this problem and glad to help.

God bless, Jordan.

Lori Thou.

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