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Acme Movers charges ​$45 plus ​$40 per hour to move household goods across town.​ Hank's Movers charges ​$55 per hour. For what lengths of time does it cost less to hire​ Hank's Movers?

Respuesta :

samuelonum1

The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours

Word Problem

Given Data

  • Acme Movers charges ​$45
  • Plus ​$40 per hour
  • Hank's Movers charges ​$55 per hour
  • Let x be the time taken

For Acme, the expression for the total charges is

Total = 45+40x ----------1

For Hank, the expression for the total charges is

Total = 55x ----------------2

Equating both expressions we have

45+40x = 55x

collect like terms

45 = 55x-40x

45 = 15x

divide both sides by 15

x = 45/15

x = 3 hours

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