SOLUTION: A bicyclist traveling in a flat, open area could ride at 3 times the speed of the wind if the wind were absent. On this day, he traveled 42 miles against the wind in 4 more hours t

Question 73150This question is from textbook
: A bicyclist traveling in a flat, open area could ride at 3 times the speed of the wind if the wind were absent. On this day, he traveled 42 miles against the wind in 4 more hours than it took to go 4 miles with the wind on the return trip. What is the speed of the bike in no wind? This question is from textbook

Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Let the speed of wind be 'x' mph.
In absence of wind, the cyclist can travel with a speed 3 times the wind speed i.e. at speed '3x' mph.

While travelling against wind, the effective speed of the cyclist is (3x - x) = '2x' mph
While travelling with the wind, the effective speed of the cyclist is (3x + x) = '4x' mph
Now, so .

The distance between the source and destination is 42 miles.
Time reqd. for going from source to destination = hrs.
Time reqd. for travelling 4 miles during return journey = hrs.
According to the problem, the later time is 4 hours less than the former.

So,
or
or

The speed of the bike in absence of wind = miles per hr.
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