Question
The train service was disrupted due to an accident after a travel of 30 km. The speed was reduced to four-fifths of the original speed. This caused a delay of 45 min. If the accident had happened 20 km farther, it would have been running late for 36 min. What was the original speed of the train?
Solution
Let the speed of the train be x. We know that. ⇒ Speed = Distance/Time Speed after accident = 4/5 of x = 4x/5 According to the question, The time difference in covering 20 km due to change in speed = 45 - 36 = 9 min 20/(4x/5) -(20/x) =9/60 100/4x)-20/x=9/60 ⇒ x = 33.33 km/h ∴ The original speed of the train is 33.33 Km/h.
More Time and distance Questions
- Saket and Rakesh are brothers whose shops are located at a distance of 10km and 12km respectively from their home. Both of them start at the same time from...
- Pawan is able to finish 1/3rd of a task in 10 days. Qureshi, on the other hand, can complete the entire task in half the time Pawan would need to complete ...
- Ravi decides to increase his cycling speed from 18 km/h to 24 km/h and ends up travelling 54 km more in the same amount of time. How far did he go at the s...
- A boy goes to school with a speed of 70 km/h and comes back with a speed of 55 km/h. find his average speed?
- 'C' takes 50 minutes more than 'D' to cover 'x' km. If the speed of 'C' and 'D' is 8 km/h and 10 km/h, respectively, find the value of 'x'.
- The speed of a bike increases by 3 km/hr after every 1 hour. If the distance travelled by the bike in 1st hour is 22 km, the find the total distance travel...
- From the top of a multi-storey building, the angle of depression to the top of a smaller building (which is 20 meters tall) is 45°. The distance between th...
- Identify the cases where two objects moving in opposite directions have a relative speed of 30 km/h.
- In a 200-metre race, 'P' beats 'Q' by 40 metres and 'Q' beats 'R' by 20 metres. By how much distance would 'P' beat 'R', in the same race?
- A man takes a total of 5 hrs 30 min by walking to a certain place and coming back by cycle. He would have gained 2 hrs 30 min by cycling both the ways. The...
Relevant for Exams:
