To learn how to do conversions between different metric units,

**Problem 1 : **

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

**Problem 2 : **

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

**Problem 3 : **

Use a fraction to find the length in meters of a tile that is 9 centimeters long.

**Problem 4 : **

Kevin has a pole that is 24 meters tall. If Kevin sets the pole on a 300 centimeters stand, how far from the floor will the top of the pole be (in meters) ?

**Problem 5 : **

Becky and Keith each ran for exactly 20 minutes on a treadmill. Keith’s treadmill said he had run 18500 meters. Becky’s treadmill said she had run 2 kilometers. Who ran farther, and how much farther ?

**Problem 6 : **

David prepares 24 kilograms of metal in 1 hour 36 minutes. At the same rate, How many grams of metal will he prepare in one minute ?

**Problem 7 : **

Mark used 15840 grams of metal to make an alloy in 45 minutes. Find the amount metal used in one minute (in grams).

**Problem 8 : **

Mrs. Moore handed out 40 grams of almonds to each of her 22 students . How many dekagrams of almonds did Mrs. Moore hand out ?

**Problem 9 : **

Tommy uses 40 grams of cheese in each pizza he makes. How many kilograms of cheese does Tommy need to make 28 pizzas ?

**Problem 10 : **

A standard elevator in a mid rise building can hold a maximum weight of about 500 kilograms. Assuming an average adult weight of 70 kilograms, what is the maximum number of adults who could safely ride the elevator ?

**Problem 1 : **

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

**Solution : **

Distance covered in 2 hours = 60 kilometers

Distance covered in 1 hour = 30 kilometers

We know that,

1 hour = 60 minutes

1 kilometer = 1000 meters

**Given : **David travels 60 kilometers in two hours

Then,

2 hours -----> 60 km

1 hour -----> (60/2) km

1 hour -----> 30 km

60 minutes -----> (30 ⋅ 1000) meters

60 minutes -----> 30000 meters

1 minute -----> (30000/60) meters

1 minute -----> 500 meters

So, 500 meters of distance covered in 1 minute.

**Problem 2 : **

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

**Solution : **

Speed = Distance / Time

Speed = 15840/45

Speed = 352 meters per minute

So, the speed of Mark is 352 meters per minute.

**Problem 3 : **

Use a fraction to find the length in meters of a tile that is 9 centimeters long.

**Solution : **

**Here, we convert smaller unit (centimeters) into bigger unit (meters). **

**So we have to divide.**

Because divide, we have to use the fraction 1/100.

We know that,

1 meter = 100 centimeters

Then,

9 centimeters = (9 ⋅ 1/100) meters

9 centimeters = 9/100 meters

So, 9 centimeters is equal to 9/100 meters.

**Problem 4 : **

Kevin has a pole that is 24 meters tall. If Kevin sets the pole on a 300 centimeters stand, how far from the floor will the top of the pole be (in meters) ?

**Solution : **

**Height of the pole = 24 meters**

**Height of the stand = 300 cm = (300/100) m = 3 m**

**Distance from the floor to the top of the pole is **

**= Height of the stand + Height of the pole**

**= 30 + 3 **

**= 33 meters**

So, the top of the pole is 33 meters far from the floor.

**Problem 5 : **

Becky and Keith each ran for exactly 20 minutes on a treadmill. Keith’s treadmill said he had run 18500 meters. Becky’s treadmill said she had run 2 kilometers. Who ran farther, and how much farther ?

**Solution : **

**Both Becky and Keith took the same amount of time. **

**That is 20 minutes.**

**Distance covered by Becky and Keith are given in different units. (Meters and Kilometers)**

**We have to make the units same. **

**Convert meters in to kilometers. **

**Then, **

**10000 m = (18500/1000) m = 18.5 km **

**Therefore,**

**Distance covered by Becky = 18.5 km -----(1) **

**Distance covered by Keith = 2 km ****-----(2)**

**Difference between (1) and (2) is **

**= 2 - 18.5**

**= 1.5 km**

So, Becky ran farther by 1.5 km.

**Problem 6 : **

David prepares 24 kilograms of metal in 1 hour 36 minutes. At the same rate, How many grams of metal will he prepare in one minute ?

**Solution : **

1 hr 36 min = 60 min + 36 min = 96 min

1 kg = 1000 grams

24 kg = 24 ⋅ 1000 grams = 24000 grams

**Given : **David prepares 24 kilograms of metal in 1 hour 36 minutes.

Then,

1 hr 36 min -----> 24 kg

96 min -----> 24000 grams

1 min -----> (24000/96) grams

1 min -----> 250 grams

So, David will prepare 200 grams of metal in one minute.

**Problem 7 : **

Mark used 15840 grams of metal to make an alloy in 45 minutes. Find the amount metal used in one minute (in grams).

**Solution : **

Metal used in 45 minutes = 15840 grams

Metal used in 1 minute = (15840/45) grams

Metal used in 1 minute = 352 grams

So, 352 grams of metal is used in 1 minute.

**Problem 8 : **

Mrs. Moore handed out 40 grams of almonds to each of her 22 students . How many dekagrams of almonds did Mrs. Moore hand out ?

**Solution : **

**Total no. of grams of almonds handed out is **

**= 4 **⋅** 22**

**= 88**

**Here, we convert smaller unit (grams) into bigger unit (deagrams).**

**So we have to divide.**

**We now that, **

**1 dekagram = 10 grams**

**Then, the total no. of dekagrams of almonds handed out is**

**= 88/10**

**= 8.8**

So, Mrs. Moore handed out 8.8 dekagrams of almonds.

**Problem 9 : **

Tommy uses 40 grams of cheese in each pizza he makes. How many kilograms of cheese does Tommy need to make 28 pizzas ?

**Solution : **

**Given : **Tommy uses 40 grams of cheese in each pizza he makes.

1 pizza -----> 40 grams of cheese

28 pizzas -----> 28 ⋅ 40 grams of cheese

28 pizzas ------> 1120 grams of cheese

28 pizzas ------> (1120/1000) kilograms of cheese

28 pizzas ------> 1.12 kilograms

So, Tommy needs 1.12 kilograms of cheese to make 28 pizzas.

**Problem 10 : **

A standard elevator in a mid rise building can hold a maximum weight of about 500 kilograms. Assuming an average adult weight of 70 kilograms, what is the maximum number of adults who could safely ride the elevator ?

**Solution : **

**Given :** Elevator can hold 500 kilograms.

If the average weight of an adult is **70 kilograms, then m****aximum no. of adults could safely ride the elevator is**

= 500/70

= 7.14

≈ 7

So, maximum number of adults who could safely ride the elevator is 7.

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