SOLUTION: A messanger left a construction site and traveled by jeep at 51km/h. Forty minutes later it was discovered that she had been given the wrong parcel. How fast must a second messan

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A messanger left a construction site and traveled by jeep at 51km/h. Forty minutes later it was discovered that she had been given the wrong parcel. How fast must a second messan      Log On


   

Question 165659This question is from textbook algebra
: A messanger left a construction site and traveled by jeep at 51km/h. Forty minutes later it was discovered that she had been given the wrong parcel. How fast must a second messanger travel to overtake her in one hour? This question is from textbook algebra

Found 2 solutions by stanbon, jojo14344:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A messanger left a construction site and traveled by jeep at 51km/h. Forty minutes later it was discovered that she had been given the wrong parcel. How fast must a second messanger travel to overtake her in one hour?
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Messenger DATA:
rate=51 km/h ; time =1+(2/3)=(5/3) hrs. ; distance=rt=(5/3)*51 = 85 km
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Pursuer DATA:
time = 1 hr ; distance = 85 km; rate = 85 km/hr
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Cheers,
Stan H.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

This is a good one.
When it was realized she had been given the wrong parcel, the messanger had travelled a certain distance in that 40 mins. Let's see,
%2851km%2Fcross%28hr%29%29%2840cross%28min%29%29%281cross%28hr%29%2F60cross%28min%29%29
34km ------> distance travlled in that 40 mins w/ speed of 51km/hr
Let x speed of the 1st messanger,
Now, let y speed of the 2nd messanger.
Equating the speeds of the 2nd messanger in 1 hour to the distance travelled by the 1st messanger :
y%281hr%29=x%281hr%29%2B34km
y%281hr%29=%2851km%2Fcross%28hr%29%29%281cross%28hr%29%29%2B34km
y%2Across%281hr%29%2Fcross%281hr%29=85km%2F1hr
highlight%28y=85km%2Fhr%29, same speed of the 2nd messanger to reach it or should be more than this to overtake the 1st messanger.
Thank you,
Jojo