| 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? |
A) 75 km/h
B) 110 km/h
C) 85 km/h
D) Cannot be determined
E) None of the above
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, |
| \[\frac{x}{35+x}=\frac{15}{22}\] |
| \[\Rightarrow \] \[22x=15\,(x+35)\] |
| \[\Rightarrow \] \[7x=15\times 35\,\,\,\Rightarrow \,\,\,x=75\,km/h\] |
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