Mathematics: Atour bus normally leaves for its destination at 5: 00p.m. for a 378 mile trip. this week however, the busleaves at 6: 00 p.m. to arrive on time, the driver drives 9 miles per hour faster than normal what is the normalspeed of the bus?

I didn,t get itStep-by-step explanation:...

Atour bus normally leaves for its destination at 5:

ansuaprajita1506

07.01.2022

54 mph

Step-by-step explanation:

we know D = RT, where

D is distance

R is rate/speed

T is time

Normally:

D = RT

378 = RT

This week:

D = RT

378 = (R+9)(T-1)

These are the 2 equations we can write:

Let's mutliply out the last equation:

378 = (R+9)(T-1)

378 = RT - R + 9T - 9

387 = RT - R + 9T

we know RT = 378 and T = 378/R, we replace:

387 = 378 - R + 9(378/R)

9 = -R + 3402/R

Now solving:

$9 = -R + \frac{3402}{R}\\R-\frac{3402}{R}+9=0\\R^2+9R-3402=0\\R=-63,54$

R can't be negative, so we take R = 54 miles per hour

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