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(39617)   (Show Source):
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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.

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If you solve for d staying completely in variables, you should find symbolic solution formula as .

Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website!
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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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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!
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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