Question

Mary takes a sightseeing tour on a helicopter that can fly 378 miles against a 35 mph headwind in the same amount of time it can travel 630 miles with a 35 mph tailwind. Find the speed, in miles per hour, of the helicopter.

Answer 1

The speed of the helicopter is 160mph.

Explanation:

The speed of the helicopter is 160mph.

Speed

Speed =Distance/Time

450miles/s-35mph = 702miles/s+35

450×s+35 = 702×s-35

450s+15,750 = 702s-24,570

Collect like terms

702s-450s = 15,750 + 24,570

252s= 40,320

Divide both side by 252s

s= 40,320/252

s= 160mph

Inconclusion the speed of the helicopter is 160mph.