Homework Help: math70

Posted by Helo on Saturday, October 22, 2011 at 11:45am.

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.

math70 - Reiny, Saturday, October 22, 2011 at 11:52am
first distance --- x miles
distance by helicopter -- 156-x

x/30 + (156-x)/75 = 3
times 150
5x + 2(156-x) = 450
5x + 312 - 2x = 450
3x = 138
x = 46

distance from airport to office = 156-46 = 110

check:
46/30 + 110/75 = 3

Answer this Question

Related Questions

distance - An executive drove from home at an average rate of speed of 30 mph to...
Algebra II - A salesman drove from his home to a nearby city at an average speed...
Algebra II - Bill drove from Ajax to Bixby at an average speed of 50 mph. On the...
physics - On a drive from your home to town, you wish to average 52 mph. The ...
math - Carl drove from his house to work at an average speed of 35 miles per ...
physics - a man drives with an average speed of 25 mph for 20 minutes. he rests ...
Physics - Could someone please review my answers and tell me if I am on the ...
Math - Carlo drove for 3 hours in a fog, then increased his speed by 30 miles ...
Math - Jim drove 300 miles away from home. He stopped 2/3 of the way there. He ...
math - a coast guar ship left a port at 30 mph. four hours later a helicopter ...

For Further Reading

First Name:
School Subject:
Answer: