ryanh0342
contestada

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?

Respuesta :

tramserran

Answer:  8 min

Step-by-step explanation:

Use the formula distance = rate x time

Ursula:

  • distance = d
  • rate = 60,
  • time = t - 1 (she gave Andre a 1 minute head start)

        d = 60(t - 1)

        d = 60t - 60

Andre:

  • distance = d
  • rate = 48
  • time = t + 1 (48 meters/48 meters per min = 1 minute longer than Ursula)

       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

Otras preguntas