SOLUTION: A pilot flew a jet from City A to City B, a distance of 2200 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 8 h 20 min. What

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A pilot flew a jet from City A to City B, a distance of 2200 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 8 h 20 min. What       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1009872: A pilot flew a jet from City A to City B, a distance of 2200 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 8 h 20 min. What was the speed from City A to City B?
Answer by ikleyn(52779) About Me  (Show Source):
You can put this solution on YOUR website!
.
A pilot flew a jet from City A to City B, a distance of 2200 mi. On the return trip, the average speed was 20% faster
than the outbound speed. The round-trip took 8 h 20 min. What was the speed from City A to City B?
--------------------------------------------------------------------
Let u be the speed from City A to City B, in mph.

Then the speed on the return trip was 1.2u.

Time spent for the trip from A to B was 2200%2Fu hours.

Time spent for the trip from B to A was 2200%2F%281.2u%29 hours.

An equation is 

2200%2Fu + 2200%2F%281.2u%29 = 81%2F3,   or

2200%2Fu + 2200%2F%281.2u%29 = 25%2F3.

Simplify and solve it for u.

As the first step, multiply both sides by 3*1.2*u.