Home
Class 10
MATHS
5. After covering a distance of 30 km wi...

5. After covering a distance of 30 km with a uniform speed there is some defect in train engine and therefore, its speed is reduced to 4/5 of its original speed. Consequently, train reaches its destination late by 45 minutes. Had it happened after covering 18 km more, reached 9 minutes earlier. Find the speed of the train and the distance of covered.

Text Solution

AI Generated Solution

To solve the problem step by step, we will define variables, set up equations based on the given conditions, and then solve these equations to find the speed of the train and the total distance covered. ### Step 1: Define Variables Let: - \( x \) = original speed of the train in km/h - \( y \) = total distance to be covered in km ### Step 2: Write the Equation for the First Scenario ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3a|18 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3A|8 Videos
  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

After covering a distance of 30km with a uniform speed there is some defect in a train engine and therefore, its speed is reduced to 4/5 of its original speed. Consequently, the train reaches its destination late by 45 minutes. Had it happened after covering 18 kilometres more, the train would have reached 9 minutes earlier. Find the speed of the train and the distance of journey.

A train covers a distance of 360 km at a uniform speed. Had the speed been 5km/hour more, it would have taken 48 minutes less for the journey. Find the original speed of the train

A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.

A train covers 14 km in 8 minutes . What us the speed of the train ?

If a car covers a distance of 201.25 km in 3.5 hours, find the speed of the car.

If the speed of a car is 50.4 km/h, find the distance covered in 3.6 hours.

A body moving with uniform retardation covers 3 km before its speed is reduced to half of its initial value. It comes to rest in another distance of

A train travels a distance of 300 km at constant speed. If the speed of the train is increased by 5 km an hour, the journey would have taken 2 hours less. Find the original speed of the train.

A train takes 3 h to reach from station A to station B at a distance of 400 km and 5 h in its return journey. Find the average speed of the train.

Abdul traveled 300km by train and 200km by taxi, it took him 5 hours 30minutes. But if he travel 260 km by train and 240 km by taxi he takes 6 minutes longer. Find the speed of the train and of the taxi.