LENGTH CONVERSION CHART

Example 1 :

Convert 2 feet into inches.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 feet = 2 x 12 inches

2 feet = 24 inches

Example 2 :

Convert 3.5 yards into inches.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 yards = 3.5 x 36 inches

3.5 yards = 126 inches

Hence, 3.5 yards is equal to 126 inches.

Example 3 :

Convert 30 inches into feet.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

30 inches = 30/12 feet 

30 inches = 2.5 feet

Example 4 :

Convert 5280 yards into miles.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

5280 yards = 5280/1760 miles 

5280 yards = 3 miles

Example 5 :

Convert 24 feet into yards.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

24 feet = 24/3 yards 

24 feet = 8 yards

Example 6 :

David travels 60 miles in two hours. How many yards of distance will he cover in one minute ?

Solution :

Distance covered in 2 hours = 60 miles 

Distance covered in 1 hour = 30 miles

We know that 1 hour = 60 minutes and 1 mile = 1760 yards.

1 hour ----> 30 miles

60 minutes ----> 30 x 1760 yards

60 minutes ----> 52800 yards

So, distance covered in 60 minutes = 52800 yards.

Distance covered in one minute = 52800/60 yards

= 880 yards

Example 7 :

Mark jogged 15840 feet in 45 minutes. Find the speed of Mark in feet per minute.

Solution :

Speed = Distance/Time

Speed = 15840/45

Speed = 352 feet per minute

Hence the speed of Mark is 352 feet per minute. 

Example 8 :

Jack is 1.36 metres tall. His friend Ian is 5 centimetres taller than Jack. What height is Ian? Give your answer in metres.

Solution :

Height of Jack = 1.36 m

Height of Ian = Height of Jack + 5 cm

1 m = 100 cm

1 cm = 1/100 m

= 0.01 m

5 cm = 5 x 0.01

= 0.05 m

Height of Ian = 1.36 + 0.05

= 1.41 m

So, height of Ian is 1.41 m.

Example 9 :

Mary runs 600 m every day. Work out how far Mary runs in one week. Give your answer in kilometres.

Solution :

Distance covered by Mary on each day = 600 m

Number of days in week = 7

Distance covered in a week = 600 x 7

= 4200 m

1000 m = 1 km

= 4200/1000

= 4.2 km

So, the distance covered by her in a week is 4.2 km.

Example 10 :

The table shows the flying speeds of several birds.

a. Which bird is the fastest? Which is the slowest?

b.The peregrine falcon has a dive speed of 322 kilometers per hour. Is the dive speed of the peregrine falcon faster than the flying speed of any of the birds? Explain

Solution :

Let us convert speed of every bird into the same unit ft/hr

Speed of Spine tailed swift :

1 m = 3.28 ft

1 hr = 60 minutes or 3600 seconds

2843.2 meter/min =  3.28(2843.2)/(1/60)

= 3.28 x 2843.2 x 60

= 559, 541.76 ft/hr

Speed of Spur Winged goose :

129.1 ft/sec = 129.1 / (1/3600)

= 129.1 x 3600

= 464, 760 ft/hr

Speed of Eider duck :

31.3 m/sec = 31.3 x 3.28 / (1/3600)

= 31.3 x 3.28 x 3600

= 369, 590.4 ft/hr

Speed of Mallard :

65 miles/hr 

1 mile = 5280 ft

65 miles / hr = 65 x 5280 ft/ hr

= 343, 200 ft/hr

a) So, the bird Speed of Spine tailed swift is the fastest and Mallard is slowest.

1 km = 3280.84 ft

322 kilometers per hour = 322 (3280.84) ft/hr

= 1, 056, 430.48 ft/hr

Yes it is dividing faster than the birds given all above.

Example 11 :

Convert the speed of the zip liner to feet per second.

Solution :

The given speed is 15 miles per hour.

To convert the speed from miles to ft, we should know that 

1 mile = 5280 ft

1 hr = 60 minutes or 3600 seconds

15 miles = 15 x 5280 ft

= 79200 / 3600

= 22 ft per second

So, speed of the zip line is 22 ft per second.

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