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sladkih [1.3K]
3 years ago
8

A plane traveled 2464 miles to San Francisco from Boston. With the wind to San Francisco, it took 14 hours. Into the wind from S

an Francisco, back to Boston, the same trip took 16 hours. How fast is the plane traveling when there is no wind? What is the wind speed?
Mathematics
1 answer:
lesya [120]3 years ago
6 0

Step-by-step answer:

Given:

Distance = 2464 miles

downwind time = 14 hours

upwind time  = 16 hours

Solution:

downwind speed  = 2464 / 14 = 176 mph

upwind speed = 2464 / 16 = 154 mph

Average speed = still air speed

= (176+154)/2

= 330/2

= 165 mph

Time required

= 2464 / 165

= 14.933 hours

= 14 hours 56 minutes.

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