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
- Daksh travels 200 km at 50 km/hr, the next 252 km at 42 km/hr and the next 204 km at 51 km/hr. What is his average speed (in km/hr) for the whole journey? (Round off your answer to two decimal places)
- A bus travelling at 66 km/hr completes a journey in 15 hours. What should be its speed to cover the same distance in 5 hours?
- Train A leaves station M at 8:00 a.m. and reaches station N at 3:00 p.m. on the same day. Train B leaves station N at 10:00 a.m. and reaches station M at 3:00 p.m. on the same day. Find the time when Trains A and B meet.
- A bus travelling at 95 km/hr completes a journey in 10 hours. What should be in its speed to cover the same distance in 5 hours?
Rishi travels 198 km at 66 km/hr, the next 584 km at 73 km/hr and the next 656 km at 82 km/hr. What is his average speed (in km/hr) for the whole journey? (Round off your answer to two decimal places)
