Acyclist rode 3.75 miles in 0.3 hours. q1.how fast was she going in miles per hour? q2.at that rate,how long will it take her to go 4.5 miles?

Solution:

1)Distance covered by cyclist=3.75 miles.

Time =0.3 hours.

Speed= Distance ÷Time

Speed =3.75÷0.3=12.5 miles per hour.

2) Speed = 12.5 miles per hour, Distance = 4.5 miles .

Time = Distance ÷Speed.

Time = 4.5÷12.5=0.36 hours.

Time taken to cover 4.5 miles is 0.36 hours.

Q1 12.5 miles per hour

Q2 = .36 hours

Step-by-step explanation:

We know the formula for distance relate to rate and time

distance = rate * time

Q1.  3.75 miles = rate * .3 hours

Divide each side by .3

     3.75 miles /.3 hours = rate

       12.5 miles per hour

Q2.  4.5 miles = 12.5 miles per hour * time

      Divide each side by 12.5 miles per hour

         4.5 miles / 12.5 miles per hour = 12.5 miles per hour * time/ 12.5 mph

         .36 hours = time

Let us first check the common ratio for this Geometric series .

-20/ 4= -5

100/-20 = -5

Ratio of any term with it's previous term is -5 so that is the common ratio here .

here first term a= 4 and common ratio r= -5

we know nth term of geometric series is an= a r^(n-1)

let us plug n= 8 a= 4 and r= -5 a8 = 4 ( -5)^(8-1)

a8 = 4 (-78125) = -312500

Answer : -312500