Emily needs to hire a pilot. Pilot A is offering his services for an initial $32 in addition to $22.18 per hour.

Pilot B is offering her services for an initial $46.75 in addition to $18.24 per hour. When

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charge the same amount of money?

After working for 3. 74 hours, BOTH pilots will charge same amount.

Step-by-step explanation:

Let us assume in m hours, BOTH PILOT charge the same amount of money.

About PILOT A:

The fixed rate = $32

The rate per hour = $22.18

So, if the pilot A works for m hours, then:

Charge for m hours = m x (charge per hour) = m x ($22.18) = 22.18 m

So, the Total cost for hiring Pilot A = Fixed charge + Cost for m hour

Total cost for hiring Pilot A = $32 + 22.18 m ... (1)

About PILOT B:

The fixed rate = $46.75

The rate per hour = $18.24

So, if the pilot B works for m hours, then:

Charge for m hours = m x (charge per hour) = m x ($18.24) = 18.24 m

So, the Total cost for hiring Pilot B = Fixed charge + Cost for m hour

Total cost for hiring Pilot B = $46.75 + 18.24 m ... (2)

Now, as for m hours, they charge the SAME:

⇒ From (1) and (2)

$32 + 22.18 m = $46.75 + 18.24 m

or, 3.94 m = 14.75

or m = 14.75/3.94 = 3.74

or, m = 3.74 hours

Hence, after working for 3. 74 hours, BOTH pilots will charge same amount.