Question: The ratio between the speed of car and a train is 15: 22, respectively. If the speed of the train is 35 km/h more than that of the car, what is the speed of the car?
Options:
A) 75 km/h
B) 110 km/h
C) 85 km/h
D) Cannot be determined
E) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
- Let speed of car be x km/h.
Then, the speed of train will be $ (35+x),km/h $
According to the question,
$ \frac{x}{35+x}=\frac{15}{22} $
$ \Rightarrow $ $ 22x=15,(x+35) $
$ \Rightarrow $ $ 7x=15\times 35,\Rightarrow ,x=75,km/h $