Question

Please Help! Need One Last Question! A tugboat goes 160 miles upstream in 20 hours. The return trip downstream takes 10 hours. Find the speed of the tug boat without a current and the speed of the current.

Answer 1

so tell me what is speed during upstream journey

Answer 2

160miles? @AravindG

Answer 3

speed=distance/time

Answer 4

??????? still confused can you write the equation out please..... @AravindG

Answer 5

what is distance=160 miles
time =20 hrs
speed =?

Answer 6

would it be 8 @AravindG

Answer 7

yep :)

Answer 8

Is that the answer to the speedof the tugboat with out a current? @AravindG

Answer 9

no can u find speed of return trip now?

Answer 10

Would the answer be 16 for the current? @AravindG

Answer 11

hey i think we should do it by another method

Answer 12

so those answers are incorrect? @AravindG

Answer 13

Let s= the speed of the tugboat without a current
Let c= the speed of the current

Going upstream:
160=(s-c) *20

Going downstream:
160=(s+c)*10

Answer 14

now find s+c and s-c from these 2 eqns

Answer 15

For the first equation i multiply 20 to both s and c? @AravindG

Answer 16

for first eqn divide by 20

Answer 17

so is it 8=(s-c) @AravindG

Answer 18

ya what abt second eqn ?

Answer 19

16=(s+c) @AravindG

Answer 20

yep :)

Answer 21

now add both these to get c

Answer 22

then u will get speed of current !

Answer 23

so 24? @AravindG

Answer 24

try again ?

Answer 25

2? @AravindG

Answer 26

try again ?

Answer 27

Ya i dont know @AravindG

Answer 28

(s-c) = 8
+ (s+c) =16
__________

Answer 29

sorry u get s vakue when u add not c ...anywas find s

Answer 30

so can u add it now ?

Answer 31

8? @AravindG or 24

Answer 32

can u show ur addition using draw button below ?

Answer 33

i mean 12 @AravindG

Answer 34

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Answer 35

now substitute s value in any of the above eqns to get c :)

Answer 36

4? @AravindG

Answer 37

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Answer 38

THANK YOU VERY MUCH! i have one more question can you help me on my next problem?

Answer 39

@AravindG

Answer 40

dont u need speed of tug boat without current ?

Answer 41

yes i do.... how do we figure that out?? @AravindG

Answer 42

my mistake :P speed of tug boat in still water is s=12 :P

Answer 43

lols

Answer 44

ok aha thank you again @AravindG

Answer 45

yw :)