Problema Solution
At first an athlete jogs at 6
miles per hour and then jogs at 8
miles per hour, traveling 7
miles in 1
hour
How long does the athlete jog at each speed? (Hint: Let t represent the amount of time the athlete jogs at 6
mph. Then 1 minus t
represents the amount of time the athlete jogs at 8
mph.)
Answer provided by our tutors
t = time jogging at v1 = 6 mph
(1-t) = time jogging at v2 = 8 mph
Since distance = speed * time we have:
v1t + v2(1 - t) = 7
6t + 8(1 - t) = 7
........
click here to see the equation solved for t
........
t = 1/2 hr
t = 30 min
1 - t 1 - 1/2 = 1/2 hr = 30 min
The athlete jogs 30 min at 6 mph and 30 min at 8 mph.