SOLUTION: A plane travels from town A to town B at a constant speed of 400 mph and returns along the same route at a constant speed of 600mph. what is the plane's average speed for the round

Question 853679: A plane travels from town A to town B at a constant speed of 400 mph and returns along the same route at a constant speed of 600mph. what is the plane's average speed for the round trip in miles per hours?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A plane travels from town A to town B at a constant speed of 400 mph and returns along the same route at a constant speed of 600mph.
what is the plane's average speed for the round trip in miles per hours?
:
Let d = the one-way distance of the trip
then
2d = the round trip
:
Let a = the average speed for the round drip
:
Write time equation; time = dist;/speed
AB time + BA time = total time
+ =
multiply equatin by 1200a, cancel the denominators and you have
3ad + 2ad = 1200(2d)
5ad = 2400d
divide both sides by d
5a = 2400
a = 2400/5
a = 480 mph av speed
RELATED QUESTIONS
John walks from town A to town B. He first walks on flat land, and then uphill. He then... (answered by ankor@dixie-net.com)

Tahir travels from A to B at a speed of 40 mph, and returns along the same route a speed... (answered by bucky)

A driver travels from town A to town B at a constant speed, and then from town B to town... (answered by ankor@dixie-net.com)

a car goes from town A to another town B with a speed of 40km/hr and returns back to the... (answered by lwsshak3)

John drives from Town A to Town B , a distance of 720 km , at a constant speed. When he (answered by stanbon)

A car drove from town A to town B at an average of 60 mph. On the return trip from town B (answered by Fombitz,ikleyn,solver91311)

Car A starts in Sacramento at 11am. It travels along a 400 mile route to Los Angeles at... (answered by ikleyn,mccravyedwin,greenestamps)

A person travels 136 miles from one town to a city at an average speed of 77 mph and then (answered by Alan3354)

Jack travels from A to B at 30 mph, and returns at 10 mph. Jill leaves at the same time... (answered by ankor@dixie-net.com)