-
It takes 8 hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes
20 minutes more if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is
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- 2 : 3
- 3 : 2
- 3 : 4
- 4 : 3
Correct Option: C
Speed of train = x kmph
Speed of car = y kmph
Case I,
| + | = 8 | ||
| x | y |
| ⇒ | + | = 8 | ||
| x | y |
| ⇒ | + | = 1 ...(i) | ||
| x | y |
Case II,
| + | = 8 hours 20 minutes | ||
| x | y |
| ⇒ | + | = 8 | hours | |||
| x | y | 3 |
| = | |
| 3 |
| ⇒ | + | = | |||
| x | y | 3 |
| ⇒ | + | = 1 .......(ii) | ||
| x | y |
| ∴ | + | = | + | ||||
| x | y | x | y |
| ⇒ | − | = | − | ||||
| x | x | y | y |
| ⇒ | = | ⇒ | = | = | = 3 : 4 | |||||
| x | y | y | 12 | 4 |
