SOLUTION: 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
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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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