Question

If the average speed of a garden snail is 0.025 miles per hour and one inch is approximately 2.54 centimeters, how many minutes would it take a garden snail to travel one meter? Round the answer to the nearest tenth.
A) 1.4 minutes
B) 1.5 minutes
C) 2.1 minutes
D) 2.6 minutes

Answer 1

Answer:

B

Step-by-step explanation:

First, convert speed in miles per hour to inches per second.

Use

1 mile = 63,360 inches

1 hour = 3,600 seconds

Then

$0.025\ \dfrac{miles}{hour}\\ \\ \\=0.025 \ \dfrac{miles}{hour}\times 63,360\ \dfrac{inches}{mile}\ \div 3,600\ \dfrac{seconds}{hour}\\ \\ \\=\dfrac{0.025\times 63,360}{3,600}\ \dfrac{inches}{second}\\ \\ \\=\dfrac{1,584}{3,600}\ \dfrac{inches}{second}\\ \\ \\=0.44\ \dfrac{inches}{second}$

Now, use the fact that

1 inch = 2.54 cm, so

$0.44\ \dfrac{inches}{second}\\ \\ \\=0.44\ \dfrac{inches}{second}\times 2.54\ \dfrac{centimeters}{inch}\\ \\ \\=1.1176\ \dfrac{centimeters}{second}$

Finally,

Distance = 1 m = 100 cm

Speed = 1.1176 cm/sec

Time = ? sec

Hence,

$t=\dfrac{D}{r}=\dfrac{100}{1.1176}\approx 89.5 sec\approx 1\ minute\ 30 \ seconds=1.5\ minutes$