The distance between two railway stations is 1176 km. To cover this distance, an express train takes 5 hours less than a passenger train while the average speed of the passenger train is 70 km/h less than that of the express train. The time taken by the passenger train to complete the travel is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 12 hours
| Understanding | Application |
| We will figure out the correct answer by using basic formula of time, speed & distance with use of quadratic equations. |
Distance between two railway stations = 1176 km. Express train takes 5 hours less than a passenger train. Average speed of the passenger train is 70 km/h less than that of the express train. Let the speed of express train be x km/hr Speed of passenger train = (x - 70) km/hr According to the question ⇒ 1176/(x - 70) - 1176/x = 5 ⇒ x2 - 70x = 1176 × 14 ⇒ (x - 168) (x + 98) = 0 x = 168 Speed of passenger train will be ⇒ 168 - 70 = 98km/h Time taken = 1176 / 98 = 12 hours |