The distance travelled by an auto rickshaw in 12 minutes is 5 km find out the speed of the auto rickshaw in km/hr and m/s
Answers
Answer:time =12min=12/60hr=0.2hrs
distance=5km
speed=distance/time
speed=5km/0.2hrs
speed=25km/hr
now ,the speed in m/cm is 25x18/5=90m/s
Explanation:
Given:
Distance traveled by auto-rickshaw = 5 Km
Time is taken by auto-rickshaw = 12 minutes
To find:
Speed of auto-rickshaw in Km/h =?
Speed of auto-rickshaw in m/s =?
Stepwise Solution:
- The speed can be calculated in the following steps:
- Step 1: Converting the units of time and distance as per units of speed
- The time is given in minutes therefore it should be converted into an hour and seconds.
- Time in hour:
Time = 1 hour = 60 minutes
Time (h) = t (h) = 12 minutes
Time (h) = 12 ÷ 60
Time (h) = 1/5 hour
- Time in seconds:
Time = 1 minute = 60 seconds
Time = 12 minute = t (s)
Time = 12 × 60
Time = 720 seconds
- The distance is given in kilometers and it should also be converted into meters.
- Distance in meter:
Distance = 1 Km = 1000 meters
Distance = 5 Km = D (m)
Distance = 5 × 1000
Distance = 5000 meters
- Step 2: Calculate the speed using the given formula
- Speed in Km/h:
Speed (Km/h)= Distance(Km) / Time(h)
Speed (Km/h)= 5 Km / 1/5 h
Speed = 25 Km/h
- Speed in m/s:
Speed (m/s)= Distance (m)/Time(s)
Speed (m/s) = 5000 m/720 s
Speed = 6.94 m/s
Hence, the speed of an autorickshaw in Km/h is 25Km/h and its speed in m/s is 6.94 m/s.