Calculating Train Travel Time
This solution explains how to find the time taken for a train to cover a specific distance at a given speed.
Step 1: Convert Speed Units
The distance is given in kilometers (km), but the speed is in meters per second (m/s). To use the standard formula relating distance, speed, and time, we need consistent units. We will convert the speed from m/s to kilometers per hour (km/h).
- The conversion factor from m/s to km/h is $\frac{18}{5}$.
- Given speed = $20$ m/s.
- Speed in km/h = $20 \times \frac{18}{5}$ km/h.
- Speed = $4 \times 18$ km/h = $72$ km/h.
Step 2: Calculate Time Taken
The relationship between distance ($d$), speed ($v$), and time ($t$) is given by the formula:
$ t = \frac{d}{v} $
- Distance ($d$) = $360$ km.
- Speed ($v$) = $72$ km/h.
- Time ($t$) = $\frac{360 \text{ km}}{72 \text{ km/h}}$.
- Time ($t$) = $5$ hours.
Therefore, the time taken to cover the distance is 5 hours.
Important Questions from Speed Time and Distance
A train travelling at a speed of 72 km/hr crosses a post in 20 seconds. If it crosses another train travelling at a speed of 54 km/hr in the same direction in 1 minute 45 seconds, then the difference in length between the two trains is
Rajiv's boat can travel along the current at the 8 km/hour and against the current at the rate 6 km/hour. Find the time taken by the boat to sail 28 km in still water.
Rohit and Dinesh are 64 km apart. Rohit can walk at a speed of 15 km/hr and Dinesh at the speed of 17 km/hr. In how many hours will they meet if they are travelling towards each other?
Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 32 seconds respectively and they cross each other in 30 seconds. The ratio of their speed is:
A worker covers a distance of 81 km in 11 hours. He travels partly on foot at 4.5 km/h and partly on bicycle at 15 km/h. What is the distance covered on the cycle?
