SOLUTION: Driving from point A to point B at 33 km/h takes 2 hours less than cycling 11 km/h. How far is it from A to B

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Question 1044716: Driving from point A to point B at 33 km/h takes 2 hours less than cycling 11 km/h. How far is it from A to B
Found 4 solutions by josgarithmetic, ikleyn, advanced_Learner, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
RT=D basic travel rate rule
-
Assign some variables


How thoroughly can you use this tabulated information to solve the problem on your own the rest of the way? 
              SPEED         TIME       DISTANCE

DRIVE           R           t-2          d

BICYCLE         r           t            d

Goal is solve for d in all known or given quantities.



--
If you solve for d staying completely in variables, you should find symbolic solution formula as .
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Driving from point A to point B at 33 km/h takes 2 hours less than cycling 11 km/h. How far is it from A to B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let D be the distance under the question.

Then your equation is 

 -  = 2.   (1)

The first term in the left side is the time cycling at 11 km/h.
The second term in the left is is the time driving at 33 km/h.
The number "2" on the right is the time difference, according to the condition.

To solve (1), multiply both sides by 33. You will get

3D - D = 2*33,  or

2D = 66,  or

D = 33.

Answer. The distance is 33 km.


Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Driving from point A to point B at 33 km/h takes 2 hours less than cycling 11 km/h. How far is it from A to B
Let distance be D

We then get the following TIME equation: 

D + 66 = 3D ------- Multiplying by LCD, 33

66 = 3D – D

66 = 2D

D, or distance = , or  

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