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A man travels 450 km to his home partly by train and partly by car. He takes 8 hours 40 minutes if he travels 240 km by train and rest by car. He takes 20 minutes more if he travels 180 km by train and the rest by car. The speed of the car in km/hr is
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- 45
- 50
- 60
- 48
Correct Option: A
Let speed of train be x kmph.
Speed of car = y kmph.
Case I,
| ∵ Time = | |
| Speed |
| ∴ | + | = 8 | = 8 | ||||
| x | y | 60 | 3 |
| ⇒ | + | = | ...(i) | |||
| x | y | 3 |
Case II,
| + | = 9 ..... (ii) | ||
| x | y |
By equation (i) × 3 – (ii) × 4,
| + | − | − | ||||
| x | y | x | y |
= 26 – 36
| ⇒ | = –10 | |
| y |
⇒ y = 45 kmph.
