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Ravi travels 300 km partly by train and partly by car. He takes 4 hours to reach, if he travels 60 km by train and rest by car. He will take 10 minutes more if he were to travel 100 km by train and rest by car. The speed of the train is :
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- 50 km/hr
- 60 km/hr
- 100 km/hr
- 120 km/hr
Correct Option: B
Let the speed of train be x kmph and that of car be y kmph,
then
+ | = 4 ...(i) | ||
x | y |
and, | + | = | |||
x | y | 6 |
⇒ | + | = | ...(ii) | |||
x | y | 6 |
By equation (i ) – equation (ii) × 30
+ | − | − | = 4 – 5 | ||||
x | y | x | y |
⇒ − | = − 1 | |
x |
⇒ x = 60 kmph