SOLUTION: A plane whose air speed is 150 miles per hour flew from Abott to Blair in 2 hours with a tail wind. on the return trip against the same wind, the plane was still 60 miles from abbo

Question 379795: A plane whose air speed is 150 miles per hour flew from Abott to Blair in 2 hours with a tail wind. on the return trip against the same wind, the plane was still 60 miles from abbot after 2 hours. find the wind speed and the distance between abbot and blair?
i have no clue how to even begin please help its much appreciated!:)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A plane whose air speed is 150 miles per hour flew from Abott to Blair in 2 hours with a tail wind.
on the return trip against the same wind, the plane was still 60 miles from abbot after 2 hours.
find the wind speed and the distance between abbot and blair?
:
Let w = the wind speed
then
(150+w) = effective speed with the wind
and
(150-w) = effective speed against the wind
:
Write a distance equation using both trips. (dist = time * speed)
:
Outbound dist = return dist + 60 mi
2(150+w) = 2(150-w) + 60
Divide thru by 2, results:
150 + w = 150 - w + 30
w + w = 150 - 150 + 30
2w = 30
w =
w = 15 mph is the wind speed
:
Find the distance
d = 2(150+15)
d = 2(165
d = 330 mi
:
Check this on the return trip distance
d = 2(150-15)
d = 2(135)
d = 270, which is 60 mi less as the problem stated

RELATED QUESTIONS
A plane whose air speed is 150 mi/h flew from Abbot to Blair in 2 H with a tail wind. On... (answered by ankor@dixie-net.com)

A plane whose air speed is 150 mi/h flew from Abbot to Blair in two hours with a tail... (answered by mananth)

A plane whose air speed is 150 mph flew from abbott to Blair into hours with a tail... (answered by ankor@dixie-net.com)

1.A collection of 30 coins worth $5.50 consists of nickels, dimes, and quarters. There... (answered by ankor@dixie-net.com)

With a head wind, a plane traveled 840 miles northward in 2 hours. With the same wind as (answered by checkley77)

It took 3 hours for a plane, flying against the wind, to travel 900 miles from Alabama to (answered by stanbon,ankor@dixie-net.com)

With a tail wind, a plane flew 1000 miles in 2 hours. The plane, flying directly against... (answered by greenestamps,josgarithmetic)

A plane flew 1740 km in 6 hours with tail wind. On return trip, going into the wind, the (answered by Alan3354)

A helicopter flew 180 miles 1.5 hours with a tail wind. The return trip took 2 hours with (answered by Alan3354,ewatrrr)