SOLUTION: Two motors are winding up rope. The first motor can wind up rope at 2ft per second, and the second motor can wind up rope at 5ft per second. a). write a simplified expression that

Question 476543: Two motors are winding up rope. The first motor can wind up rope at 2ft per second, and the second motor can wind up rope at 5ft per second.
a). write a simplified expression that gives the length of rope by both motors in x seconds.
b). find the total length of rope wound up in 3 minutes.
c). how many minutes would it take to wind up 2100ft of rope by using both motors.
First off, i attempted to answer from the bottom up.
c). t=d/r i got the answer being 5 minutes.
b). d=rt 7ft per second (3min) 7ftps= 420ft per min answer would be 1260 ft
i'm just not quite sure how to write these answers correctly showing my work.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
speed of DISABLED_event_one= 2 ft/s
speed of second=3ft/s
..
a. in x seconds they wind up together 2x+3x = 5x feet
b. 3 minutes = 180 second
in 3 minutes they will wind 5*180 = 900 ft
c. 2100 feet
together they wind 5 ft/s
so they will take 2100/5 = 420 seconds = 7 minutes
m.ananth@hotmail.ca

RELATED QUESTIONS
A 210 ft long rope is cut into 3 pieces. The first piece of rope is 3 time as long as the (answered by KMST)

A piece of rope is 108 cm long. One piece is three less tan twice the first. How long is... (answered by MRperkins)

A piece of rope is 108 cm long. One piece is three less tan twice the first. How long... (answered by checkley77)

Salley and Bob are eloping but Salley is locked in her 3rd floor bedroom. Their only hope (answered by Alan3354)

Gina and Gerard are twins who are both exactly 1.5 meters tall. Gina has a very long... (answered by greenestamps)

Water is taken from a well 11m deep in a bucket, the rope winding on to a drum 35cm in... (answered by ikleyn)

A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut... (answered by josgarithmetic)

a 120 foot long rope is cut into 3 pieces. the first piece of rope is twice as long as... (answered by RAY100)

PLEASE HELP ME SOLVE THIS PROBLEM A 210 FT LONG ROPE IS CUT IN 3 PIECES, THE FIRST... (answered by dfrazzetto,mamiya)