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The Salinas brothers, Juan and Carlos, have collected pledges for a bike rally they plan to have to raise money for their boy scout troop. Carlos's pledges total $11.50/mi and Juan's pledges total $9.75/mi. Carlos can peddle 10 mi/hr and Juan can peddle 12 mi/hr. If they plan to start and stop at the same time, how many hours will they have to bike if they want to raise at least $1000 together?

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Answer:

5 hours

Step-by-step explanation:

Given that :

Juan:

Rate = 12mi/hr

$9.75/mi

Carlos :

Rate = 10mi/hr

$11.50/mi

To raise atleast $1000 altogether :

Let number of hours = h

Distance = rate * time

[(12*h) * 9.75] + [(10*h) * 11.50] ≥ 1000

[117h + 105h] ≥ 1000

222h ≥ 1000

h ≥ 1000/222

h ≥ 4.504

To earn atleast $1000 altogether, they must work for atleast 5 hours (nearest whole number).

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