Question 984001: Danny rings his mother when he gets off the train. He then starts walking home and his mother leaves home in her car. She drives until she meets Danny, picks him up and drives him home. Danny finds that his total trip home from the station took one-third of the time it would of he had to walk the whole way. What is the ratio of Danny’s average walking speed to the car’s average speed?
A. 1:15
B. 1:10
C. 1:6
D. 1:5
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The ratio of their speeds will be  ,
with the car’s average speed being  times Danny's average walking speed.
Danny walks  miles towards home in  time, at his average walking speed.
His mother, covers  miles in the same time,
because the car’s average speed is times Danny's average walking speed.
Together, they have covered the  miles between the station and home in time.
However, there is still the drive home, which will take time ,
because it is the same distance mom drove to meet Danny,
covered at the same car’s average speed.
So, the whole trip takes time  .
If Danny had to walk the whole  miles,
instead of just the miles he walked in time ,
it would take him  times longer than .
It would take him  time to walk the whole way home.
With his mother's help he got home in just  time,
which is  of the time to walk the whole way home.
So,
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