Respuesta :
Let the time they both travel be x hours.
By the time they both meet, the distance covered by both would be equal to the width of the river.
Distance = Speed*time
The 4 mph after x hours would have traveled = 4x
The 5 mph after x hours would have traveled = 5x
Total distance traveled = 4x + 5x = 3
9x = 3
x = 3/9
x = 1/3 hours = 1/3 * 60 minutes = 20 minutes
They would have both traveled 20 minutes as at when they meet.
By the time they both meet, the distance covered by both would be equal to the width of the river.
Distance = Speed*time
The 4 mph after x hours would have traveled = 4x
The 5 mph after x hours would have traveled = 5x
Total distance traveled = 4x + 5x = 3
9x = 3
x = 3/9
x = 1/3 hours = 1/3 * 60 minutes = 20 minutes
They would have both traveled 20 minutes as at when they meet.
T = time that each will paddle before they meet
D = distance paddled by JIm
(3 - D) = distance paddled by John
D = 4T --- Equation 1
and
(3 - D) = 5T or
D = 3 - 5T --- Equation 2
Since Equation 1 = Equation 2
4T = 3 - 5T
9T = 3
T =1/3 hr = 20 minutes
ANSWER -- Jim and John will be paddling for 20 minutes before they pass each other