Time remaining:
I need help with all of these

label Algebra
account_circle Unassigned
schedule 0 Hours
account_balance_wallet $5

A bicyclist covered 

5
7


 of his route and an additional 40 miles. He has yet to cover 118 miles less than 0.75 of his route. How long is his route?



It takes 4.5 hours for a ship moving downriver to get from port A to port B. The return journey takes 6.3 hours. The river flows at 40 meters per minute. What is the distance between the two ports? (Give your answer in kilometers. 1 km = 1,000 meters)

Apr 4th, 2015

1.

let the route length  = x miles 

covered distance = 5/7 x +40

yet to cover = 118-0.75 = 117.25

route distance = covered + uncovered distance

x =   (5/7)x +40 +117.25

solving we get , x  - 5/7 x   = 157.25   ;   2/5 x = 157.25

or   x = 157.25 * 2/5 = 393.125 miles   (answer)


2. let the speed of ship is x meters/minute

when ship is traveling  along the steam , speed will become (x+40)     time needed 4.5 hrs =  270 minute 

when ship is traveling  against the steam , speed will become (x-40)     time needed 4.5 hrs =  390 minute 


distance e= speed * time  ;    since the distance traveled is same therefore

(x+40) 270 = (x-40) 390

solving ( x+40) 9 =(x-40)13

or, 9x+360 = 13x-520

or, 4x = 880

hence x = 880/4 = 220 meter per minute 

hence distacne beteeen ports = (x+40)*270 =(220+40) * 270 =70200 meters   or 70.2 km   (answer)


Apr 4th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Apr 4th, 2015
...
Apr 4th, 2015
Jun 25th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer