# Math word problem

posted by .

Erik bicycles 32 km/h with no wind. Against the wind he bikes 33 km in the same time it takes to bike 63 km with the wind. What is the speed of the wind?

I don't understand any of the responses.

You have to assume in this case the wind retards and assists with the same force, which is not usually true.

Vrg=Vrgs+Vwind

where Vrg is net velocity relative to ground, Vrgs is velocity relative to ground in still conditions, and Vwind is the velocity of the wind.

Vrgs=32
33km/time=32km/hr-Speedwind
63km/time=32km/hr+speed wind.

33+63)km/time=64km/hr
then time= 96/64 hr
Now solve for speed of wind in the first equation..
33km/time=32km/hr-speedwind.

• Math word problem -

Erica, David, Shawn, or whoever,

Your question has been answered below. If there is a particular part of the response that you don't understand, please let the math teachers know what that is. To simply say you don't understand doesn't give them much to work with.

• Math word problem -

I am having problems with this part:

33+63)km/time=64km/hr
then time= 96/64 hr (I know this is 1.5)
Now solve for speed of wind in the first equation..
(is it 33km/1.5 =22)
33km/time=32km/hr-speedwind.

• Math word problem -

I assume you can add the equations.

Then solve for time.

Now to solve for wind speed

33/1.5=32-speedwind
33/1.5 -32=-speedwind
I assume you can solve that.

• Math word problem -

Thank you I have the answer as 10km/h.

## Similar Questions

1. ### math-word problem

A plane flies with a ground speed of 160 miles per hour if there is no wind. It travels 350 miles with a head wind and in the same time it takes to go 450 miles with a tail wind. Find the speed of the wind. I'm pretty bad with word …
2. ### Help

Erik bicycles 32 km/h with no wind. Against the wind he bikes 33 km in the same time it takes to bike 63 km with the wind. What is the speed of the wind?
3. ### College Math

Im having a hard time trying to figure out how to do this problem: A plane can fly 150 mph in calm air. Flying with the wind, the plane can fly 350 mi in the same amount of time it takes to fly 250 mi against the wind. Find the rate …
4. ### English

1. He died young. 2. He died when he was young. 3. When he was young, he died. (Are they all the same?
5. ### math

When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane flies in the opposite direction against the wind it takes 10hrs to fly the same distance. Find the speed of the plane in still air and …
6. ### math

A jet takes the same time to travel 2500km with the wind as it does to travel 1900 km against the wind. If its speed relative to the air is 450km/hr, what is the speed of the wind?
7. ### Algebra 2

An airplane flies 1050 km with the wind. In the same amount of time, it can fly 750 km against the wind. The speed of the plane in the still air is 200 km/h. Find the speed of the wind.
8. ### maths

an aeroplane takes 40 minutes less to fly 3600km with the wind blowing at 30 km/hr than the time it takes to fly against the same wind .Find the actual speed of the aeroplane when there is no wind.
9. ### English 4

When the speaker of “Ode to the West Wind” speaks of the impulse of the wind’s strength, to what is he referring?
10. ### Math

Imelda's plane travels at a speed of 350kph in still air. One day, she travels 169km against the wind at the same time it takes to travel 190km with the wind. Find the speed of the wind.

More Similar Questions