Candace leaves her house and starts jogging at a pace of 480 feet per minute. Five minutes later, her brother runs after her at a pace of 660 feet per minute. If both of them continue at these speeds, how long will it take her brother to catch up? Here is the equation that models the problem, where t represents time in hours. 480t = 660(t – 112112)

The answer to your question is time = 20 min

Step-by-step explanation:

Data

Candace = 480 ft/min

time = 5 min

Brother = 660 ft/min

Process

1.- Calculate the distance traveled by Candace in 5 min

    distance = speed xtime

                   = 480 x 5

                   = 2400 ft

2.- Write the equations to help solve the problem

Candace    distance = 2400 + 480t

Brother      distance = 600t

3.- Solve by equality

                  2400 + 480t = 600t

                  2400 = 600t - 480t

                  2400 = 120t

                   t = 2400/120

                   t = 20 min

4.- I will solve the equation given

                   480t = 660(t - 112112)

                   480t - 660t = -112112

                            -120t = -112112

                                   t = -112112/-120

                                   t = 934 h   I think there is a mistake in the formula you

                                                      wrote.

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

tangent

step-by-step explanation: