Problema Solution
brady rode his bike 70 miles in 4 hours. he rode at an average speed of 17 mph for t hours and at an average rate of speed of 22 mph for rest of the time. how long did brady ride at the slower speed? t represents the time, in hours, brady rode at 17 mph.
Answer provided by our tutors
let
t = the time, in hours, brady rode at 17 mph
4 - t = the time, in hours, brady rode at 22 mph
Brady rode his bike 70 miles in 4 hours and since the distance = speed*time we have
the distance Brady rode at 17 mph + the distance Brady rode at 22 mph = the total distance
17*t + 22*(4 - t) = 70
by solving we find
t = 3.6 hr
t = 3 hr 36 min
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Brady rode 3 hr 36 min at the slower speed 17 mph.