A plane flies from Alphaville to Betaville and then back to Alphaville. When there is no wind, the round trip takes 4 hours and 48 minutes, but when there is a wind blowing from Alphaville to Betaville at 100 miles per hour, the trip takes 5 hours. How many miles is the distance from Alphaville to Betaville?
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2400 miles
Let speed be X .
Basically 4.8 hrs *X =2* distance so 2.4 hrs for the distance
2.4x/(X+100) + 2.4x/(X-100)=5
This gives speed X as 1000 miles per hour
Distance=2.4*1000=2400 mikes
Let speed be X .
Basically 4.8 hrs *X =2* distance so 2.4 hrs for the distance
2.4x/(X+100) + 2.4x/(X-100)=5
This gives speed X as 1000 miles per hour
Distance=2.4*1000=2400 mikes
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