SOLUTION: Anita rode her bike from her home to the repair shop at an an average speed of 30 kph. She then walked home at an average speed of 6 kph. If her total traveling time was 45 minutes

Question 1151459: Anita rode her bike from her home to the repair shop at an an average speed of 30 kph. She then walked home at an average speed of 6 kph. If her total traveling time was 45 minutes, what was the distance from her home to the repair shop?
Found 3 solutions by josgarithmetic, Edwin McCravy, Alan3354:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!

SPEED TIME DISTANCE GOING 30 d/30 d RETURN 6 d/6 d TOTAL

45 minutes is three-fourths of an hour.

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Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
Anita rode her bike from her home to the repair shop at an average speed of 30
kph. She then walked home at an average speed of 6 kph. If her total traveling
time was 45 minutes, what was the distance from her home to the repair shop?

We make a DRT-chart Distance | Rate |Time = Distance/Rate ------------------------------------------------ Riding | | | Walking | | | ------------------------------------------------ Total time We let the distance from her home to the repair shop be x, and we fill in the given rates for riding. Distance | Rate |Time = Distance/Rate ------------------------------------------------ Riding | x | 30 | Walking | x | 6 | ------------------------------------------------ Total time We fill in the times using Distance/rate and the total time of 45 minutes, which we change to 3/4 hour. Distance | Rate |Time = Distance/Rate ------------------------------------------------ Riding | x | 30 | x/30 Walking | x | 6 | x/6 ------------------------------------------------ Total time 3/4 The equation comes from the right-most column: The LCD is 60 so multiply each term by 60 to clear the fractions: kilometers. Edwin

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Anita rode her bike from her home to the repair shop at an an average speed of 30 kph. She then walked home at an average speed of 6 kph. If her total traveling time was 45 minutes, what was the distance from her home to the repair shop?
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Avg speed of the round trip = 2*30*6/(30+6) = 10 km/hr
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d = r*t = 10*0.75
d = 7.5 km RT
d one way = 3.75 km

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