Respuesta :
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u [tex]\frac{km}{hr}[/tex]
Speed of current = v [tex]\frac{km}{hr}[/tex]
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
[tex]32 = \frac{100}{u +v}[/tex]
[tex]u + v = \frac{100}{32}[/tex]
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
[tex]48 = \frac{100}{u -v}[/tex]
[tex]u -v = \frac{100}{48}[/tex]
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045 [tex]\frac{km}{hr}[/tex]
v = 0.5205 [tex]\frac{km}{hr}[/tex]
Now the time taken by the un powered raft to cover this distance
[tex]T = \frac{100}{v}[/tex]
Because un powered raft travel with the speed of the current.
[tex]T = \frac{100}{0.5205}[/tex]
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
