Speed Conversion: 90 km/hr to m/s
To convert speed from kilometers per hour (km/hr) to meters per second (m/s), we need to use standard conversion factors.
- 1 kilometer equals 1000 meters.
- 1 hour equals 3600 seconds (60 minutes × 60 seconds/minute).
We are given the speed as $90$ km/hr. To convert this, we multiply by the conversion factors:
$ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{1000 \text{ metres}}{3600 \text{ seconds}} $
Substitute the given speed:
$ \text{Speed} = 90 \times \frac{1000}{3600} \, \text{m/s} $
Simplify the fraction $\frac{1000}{3600}$:
$ \frac{1000}{3600} = \frac{10}{36} = \frac{5}{18} $
Now, perform the multiplication:
$ \text{Speed} = 90 \times \frac{5}{18} \, \text{m/s} $
Calculate the final value:
$ \text{Speed} = \frac{90}{18} \times 5 \, \text{m/s} = 5 \times 5 \, \text{m/s} = 25 \, \text{m/s} $
Therefore, the speed of $90$ km/hr is equal to $25$ m/s.
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?
