Ursula and Andre competed against each other in a swimming race. Ursula swam at a rate of 60 meters per minute and Andre swam at a rate of 48 meters per minute. Ursula gave Andre a 1-minute head start. Andre still had 48 meters left to swim when Ursula finished the race. How much time did it take Ursula to swim the race?

 8 min

Step-by-step explanation:

Use the formula distance = rate x time

Ursula:

        d = 60(t - 1)

        d = 60t - 60

Andre:

       d = 48(t + 1)

       d = 48t + 48

Solve the system of equations using Substitution

d = 60t - 60

d = 48t + 48

                      60t - 60 = 48t + 48

                       12t - 60 =           48

                        12t        =          108

                            t        =            9

Ursula's time was "t - 1" ---> 9 - 1 = 8

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step-by-step explanation:

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a