Answer:
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.
