A part-time movers job regular pay rate is 60$ an hour. If the work involves going up and down stairs, his rate increases to 90$ an hour. In one week her earned $1,380 and worked 20 hours. How many hours did he work at each rate?

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Raelynn Johnson · Accepted Answer

let number of hours of regular work=xnumber of hours of work involves going up and down stairs=yhe worked 20 hours   ⇒  x  +  y  =  20  →  (  1  )regular pay rate is 60$ an hour, work involves going up and down stairs, his rate increases to 90$ an hour ,her earned $1,380  ⇒  60  x  +  90  y  =  1380    ⇒  30  (  2  x  +  3  y  )  =  1380    ⇒  2  x  +  3  y  =  46  →  (  2  )solving (1),(2)  2  x  +  3  y  −  2  (  x  +  y  )  =  46  −  2  ⋅  20    2  x  +  3  y  −  2  x  −  2  y  =  46  −  40    y  =  6    x  +  y  =  20    ⇒  x  +  6  =  20    ⇒  x  =  14he worked 14 hours at rate of 60$ an hour , 6 hours at rate of 90$ an hour

A part-time movers job regular pay rate is 60$ an hour. If the work involves going up and down stairs, his rate increases to 90$ an hour. In one week her earned $1,380 and worked 20 hours. How many hours did he work at each rate?

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