On a road trip, Maura drove at a speed of 60 miles per hour for the first two hours.she then increased her speed by 25%.
Part A:How fast was Maura driving after she increased her speed?
Part B:If Maura continues to drive at her increased speed, write an equation to find the total distance,d, in miles,that Maura will have travelled for any time,x, in hours, longer than 2 hours.
Part C:Using the equation from Part B, how far would Maura travel in 5 hours?


Sagot :

So Maura was driving 60 miles per hour for two hours. That's 60x2 which equals 120 miles in the two hours she's been driving. After two hours she increases her speed by 25%. 25% of 60 is 15, so she is now going 75 miles per hour (Part A). If she continues to drive this way, the equation would be 75xh=d. 75 being how fast she's going and h being the number of hours she's gone. If you multiple those two together it will give you the distance she's gone (Part B). If you substitute the 5 hours from Part C the equation would be 75 miles multiplied by 5 hours. 75x5= 375 miles.

The answer for part (a) is 75 miles/hour, for part (b) is 75h = d, and for part (c) is 375 miles.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

On a road trip, Maura drove at a speed of 60 miles per hour for the first two hours. she then increased her speed by 25%.

Total miles = 60×2 = 120 miles in two hours

= 25% of 60  = 15

= 60 + 15 = 75 miles/hours

The equation:

75h = d  (distance = speed×time)

Plug h = 5

75(5) = d

d = 375 miles

Thus, the answer for part (a) is 75 miles/hour, for part (b) is 75h = d, and for part (c) is 375 miles.

Learn more about the distance here:

brainly.com/question/26711747

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