I need help on a word problem for my algebra 2 w/ trig class?

Question

"At noon a cargo plane leaves O'Hare Airport and heads east at 195 miles per hour. At 2pm a jet takes off from O'Hare and flies east after the cargo plane at 400 miles per hour. At what time (to the nearest minute) will the jet over take the cargo plane?"

Answer 1

The cargo plane travelling at 195 mph,starts at noon and by the time the jet takes off at 2 PM,it has already travelled a distance of
195*2=390 miles
The relative speed between the two planes is
400-195 or 205 miles per hour
Therefore after it starts,the jet plane will overtake the cargo plane in (390/205) or 78/41 hrs
78/41 hrs
=1 37/41 hrs
=1 hr 54 minutes 9 seconds
Therefore,the jet plane overtakes the cargo plane at
2 pm+1 hr 54 min 9 sec
=3-54'09" pm

Answer 2

for 2 hrs the cargo plane travels a distance = 2(195) = 390 miles
(400 - 195) t = 390
t = 390 / 205 = 1.9024 hours
time to overtake = 2 + 1.9024 = 3.9024 hours
time: 3 : 54 : 09

Answer 3

Ok, the distance the cargo plane has gone for t in hours is

d_c = 195 * t

The distance the jet has gone for t in hours is

d_j = 400(t - 2) if t greater than 2, 0 otherwise.

setting the two distances as equal gives

195t = 400t - 800.

Therefore 205t = 800.

t = 800/205 hours... multiply by 60 to get minutes gives

234 minutes.

Hope this helps

Answer 4

3:54 PM
jet will catch cargo plane at 760. 976 miles.
400x - 195x = 195*2
205x = 390
x = 390/205
x = 1.9024 hours flying time for jet to catch cargo plane
.9024 * 60 = 54 minutes
1' 54"
2PM + 1'54" = 3:54PM
2PM + 1.9024 = 3.9024 PM 60*.9024= 54 minutes

check problem

400 * 1.9024=760.976miles
195 * (1.9024 + 2) = 760.976miles

Answer 5

v=d/t
400t=195t+390
205t=390
t=1.902hrs
which is equivalent to1 hr and 54min.
so the jet will overtake the cargo at around 3:54
pls message me or email me at [e-mail]
if my answer is correct.
hope that i helped u

regards,
engr.mike

Answer 6

sorry im in algerbra 1.

Answer 7

sorry..
i can't work in miles..