SOLUTION: Kathy was travelling "d" miles to Miami at "n" miles per hour and arrived 3 hours late for the beach party. How fast should she have travelled to arrive on time? Please show work

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Question 1157793: Kathy was travelling "d" miles to Miami at "n" miles per hour and arrived 3 hours late for the beach party. How fast should she have travelled to arrive on time?
Please show work thanks!!
Found 3 solutions by Shin123, josgarithmetic, MathTherapy:
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
Because distance equals rate times time, she took d%2Fn hours to get there. If she wanted to arrive on time, she must have took %28d-3n%29%2Fn hours to get there. Because distance equals rate times time, plugging the numbers in gets d=%28%28d-3n%29%2Fn%29%2Ar. Dividing gets r=d%2F%28%28d-3n%29%2Fn%29=%28dn%2F%28d-3n%29%29 miles per hour.

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
                    SPEED      TIME       DISTANCE

Kathy did              n        d/n         d

for speed needed      n+x       d/(n+x)     d

Difference                        3

highlight_green%28d%2Fn-d%2F%28x%2Bn%29=3%29
Solve for x or find x+n.

The speed NEEDED was supposed to be %28dn%29%2F%28d-3n%29.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Kathy was travelling "d" miles to Miami at "n" miles per hour and arrived 3 hours late for the beach party. How fast should she have travelled to arrive on time?
Please show work thanks!!
Time taken to get to party: d%2Fn

On-time time to get to party: d%2Fn+-+3

Speed to get there on time: