math70
posted by Helo .
An executive drove from home at an average speed of 30 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 75 mph. The entire distance was 156 mi. The entire trip took 3 h. Find the distance from the airport to the corporate offices.

first distance  x miles
distance by helicopter  156x
x/30 + (156x)/75 = 3
times 150
5x + 2(156x) = 450
5x + 312  2x = 450
3x = 138
x = 46
distance from airport to office = 15646 = 110
check:
46/30 + 110/75 = 3
Respond to this Question
Similar Questions

distance
An executive drove from home at an average rate of speed of 30 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire distance … 
physics
On a drive from your home to town, you wish to average 52 mph. The distance from your home to town is 106 miles. However, at 53 miles (half way), you ﬁnd you have averaged only 39 mph. What average speed must you maintain in … 
Algebra
Tom went on a 3 Day road trip in which he drove the same number of miles each day. He drove 42 mph the first day. He drove 48 mph the second day. On the last day he drove a x mph. His average speed for the whole trip was 47 mph. Find … 
Physics
On a drive from your home to town, you wish to average 44 mph. The distance from your home to town is 106 miles. However, at 53 miles (half way), you find you have averaged only 33 mph. What average speed must you maintain in the remaining … 
algebra
An executive drove from home at an average speed of 45 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 120 mph. The entire distance was … 
math
An executive drove from home at an average speed of 45 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 120 mph. The entire distance was … 
algebra
An executive drove from home at an average speed of 45 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 120 mph. The entire distance was … 
Physics
On a drive from your home to town, you wish to average 52 mph. The distance from your home to town is 108 miles. However, at 54 miles (half way), you find you have averaged only 39 mph. What average speed must you maintain in the remaining … 
math
Jessica left the mall and drove toward the desert at an average speed of 40 mph. Shreya left one hour later and drove in the same direction but with an average speed of 60 mph. How long did 
Math
Emilio left Main Road at 8 A.M and arrived at Lame Lane at 2 P.M. His average for the whole journey was 60 mph. For the first 70% of the trip, he drove at an average speed of 65 mph. For the next 25% of the remaining trip, his average …