High School

An object is moving at a speed of 63 centimeters every 2 days. Express this speed in meters per hour. Round your answer to the nearest hundredth.

Note: Use these exact conversion factors to solve this question:

Distance/Length:
- 1 meter (m) = 100 centimeters (cm)

Time:
- 1 hour (hr) = 60 minutes (min)
- 1 day (day) = 24 hours (hr)

Answer :

Step-by-step explanation:

the given speed is

63 cm / 2 days

1 m = 100 cm

therefore, m = cm/100.

so,

63 cm = 0.63 m

1 day = 24 h

therefore,

2 days = 24×2 = 48 h

so, we have a speed of

0.63 m / 48 h

we need to get the speed of meters in 1 hour.

so, we need to do a normal fraction operation.

e.g. when we have 43/10, but we want to have 1 in the denominator (bottom part).

what do we do ? well, we divide top and bottom (to keep the total value of the fraction unchanged) by 10 and get

4.3/1 = 4.3

we do the same with

0.63 m / 48 h

as we want to have only 1 hour in the denominator.

we divide top and bottom by 48 :

0.63/48 / 1 h = 0.013125 m/h ≈ 0.01 m/h

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