Answer:
x=9 and w=12
Step-by-step explanation:
To solve for w and x, create proportions between the two similar triangles.
where Big represents the bigger triangle an little represents the smaller triangle.
Cross multiply and solve for w.
8(12+w)=16(w)
96 + 8w = 16w
96 + 8w - 8w = 16w - 8w
96 = 8w
w=12
Repeat with a new proportion.
Cross multiply and solve for x.
8(24+x)=22(12)
192 + 8x = 264
8x = 72
x=9
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
Speed of current = v
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045
v = 0.5205
Now the time taken by the un powered raft to cover this distance
Because un powered raft travel with the speed of the current.
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr