Math  /  Numbers & Operations

QuestionA snail moves a distance of 14 cm 1 point in 35 min . What is its speed, in metres per second?

Studdy Solution

STEP 1

1. The distance the snail travels is given in centimeters (14 cm).
2. The time taken by the snail to travel this distance is given in minutes (35 min).
3. The speed needs to be calculated in meters per second.
4. We need to convert the distance from centimeters to meters.
5. We need to convert the time from minutes to seconds.

STEP 2

1. Convert the distance from centimeters to meters.
2. Convert the time from minutes to seconds.
3. Calculate the speed using the formula: speed = distance/time.
4. Provide the result in meters per second.

STEP 3

Convert the distance from centimeters to meters.
1 cm=0.01 meters 1 \text{ cm} = 0.01 \text{ meters} 14 cm=14×0.01 meters=0.14 meters 14 \text{ cm} = 14 \times 0.01 \text{ meters} = 0.14 \text{ meters}

STEP 4

Convert the time from minutes to seconds.
1 minute=60 seconds 1 \text{ minute} = 60 \text{ seconds} 35 minutes=35×60 seconds=2100 seconds 35 \text{ minutes} = 35 \times 60 \text{ seconds} = 2100 \text{ seconds}

STEP 5

Calculate the speed using the formula: speed = distance/time.
Speed=DistanceTime=0.14 meters2100 seconds \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{0.14 \text{ meters}}{2100 \text{ seconds}}

STEP 6

Simplify the fraction to find the speed.
Speed=0.142100=14210000 meters per second=115000 meters per second6.67×105 meters per second \text{Speed} = \frac{0.14}{2100} = \frac{14}{210000} \text{ meters per second} = \frac{1}{15000} \text{ meters per second} \approx 6.67 \times 10^{-5} \text{ meters per second}

STEP 7

The speed of the snail is approximately:
6.67×105 meters per second 6.67 \times 10^{-5} \text{ meters per second}

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