a car goes 520 meters in 2 minutes and a bikes go 40km in 1 hour.find the ratio of the bike to that of the car.
Answers
Answer:
100 : 39
Step-by-step explanation:
Case 1 : Car
Distance Covered = 520 m
Time Taken = 2 minutes = 120 seconds
⇒ Speed = 520 m / 120 sec = 52 / 12 = 26 / 6 = 4.34 m/s
Case 2 : Bike
Distance Covered = 40 km = 40,000 m
Time Taken = 1 hour = 3600 seconds
⇒ Speed = 40,000 m / 3600 sec = 400 / 36 = 100 / 9 = 11.12 m/s
Ratio = Speed of Bike / Speed of Car
⇒ Ratio = ( 100 / 9 ) / ( 26 / 6 )
⇒ Ratio = ( 100 / 9 ) × ( 6 / 26 ) = ( 600 / 234 )
⇒ Ratio = ( 300 / 117 ) = ( 100 / 39 )
Therefore the ratio of speed of bike to that speed of car is 100 : 39
⭐ Answer -
☄️ Case Car : ☄️
Distance Covered = 520 m
Time Taken = 2 minutes = 120 seconds
==> Speed = 520 m / 120 sec = 52 / 12 = 26 / 6 = 4.34 m/s
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☄️ Case Bike : ☄️
Distance Covered = 40 km = 40,000 m
Time Taken = 1 hour = 3600 seconds
==> Speed = 40,000 m / 3600 sec = 400 / 36 = 100 / 9 = 11.12 m/s
⭐ Ratio = Speed of Bike / Speed of Car
==> Ratio = ( 100 / 9 ) / ( 26 / 6 )
==> Ratio = ( 100 / 9 ) × ( 6 / 26 ) = ( 600 / 234 )
==> Ratio = ( 300 / 117 ) = ( 100 / 39 )
.°. The ratio of speed of bike to that speed of car is 100 : 39
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