Solved Examples and Worksheet for Problems Involving Distances, Volumes and Masses

Q1Charlie traveled 4.83 miles in the first hour of his journey and 1.94 miles in the next hour. How many miles did he travel in all?
A. 8.04 miles
B. 7.11 miles
C. 6.77 miles
D. None of the above

Solutions
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Step: 1
Distance traveled by Charlie = Sum of the distances traveled by him in 2 hours
Step: 2
= 4.83 + 1.94
  [Substitute the values.]
Step: 3
4.83  [Line up the decimals.]
+1.94  
6.77  [Add]
Step: 4
Total distance traveled by Charlie is 6.77 miles.
Correct Answer is :   6.77 miles
Q2Two boxes weigh 2.4 lbs and 6.7 lbs each. What is the difference between their weights?

A. 2.5 lbs
B. 4.4 lbs
C. 4.3 lbs
D. 2.7 lbs

Solutions
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Step: 1
Difference between the weights of two boxes = 6.7 - 2.4.
  [Write an expression.]
Step: 2
6.7  [Align the decimal points.]
- 2.4  
  4.3  [Subtract.]
Step: 3
So, the difference between the weights of the boxes is 4.3 lbs.
Correct Answer is :   4.3 lbs
Q33.83 kilometers of a bridge is built and 6.31 kilometers of it is yet to be built. How long will the bridge be when it is finished?

A. 10.14 km
B. 6.84 km
C. 13.44 km
D. None of the above

Solutions
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Step: 1
Total length of the bridge = Length of the bridge built + Length of the bridge to be built.
Step: 2
= 3.83 + 6.31
  [Substitute the values.]
Step: 3


3.83
+ 6.31
.........
10.14
.........
  
[Line up the decimal places.]



[Add.]
Step: 4
Total length of the bridge = 10.14 km
Correct Answer is :   10.14 km
Q4The height of the ground floor of a building is 5.4 meters. The height of the second floor is 6.2 meters. What is the height of the second floor from the ground level?

A. 13.0 m
B. 12.0 m
C. 11.6 m
D. 11.2 m

Solutions
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Step: 1
The height of the second floor from ground level = Height of ground floor + Height of second floor
Step: 2
= 5.4 + 6.2
  [Substitute the values.]
Step: 3


5.4
+ 6.2
...........
11.6
...........
  
[Line up the decimal points.]



[Add.]
Step: 4
The height of second floor from ground level = 11.6 meters.
Correct Answer is :   11.6 m
Q5A storeowner had 870.18 grams of sugar. He sold 457.10 grams. How many grams of sugar is he left with?

A. 415.08
B. 416.08
C. 414.08
D. 413.08

Solutions
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Step: 1
The total amount of sugar that storeowner had is 870.18 gm.
Step: 2
He sold 457.10 gm.
Step: 3
The amount of sugar left with him = total amount of sugar - amount of sugar he sold
= 870.18 - 457.10
  
Step: 4
870.18  [Align the decimal points.]
- 457.10  
  413.08  [Subtract.]
Step: 5
The amount of sugar left with storeowner is 413.08 grams.
Correct Answer is :   413.08
Q6Zelma's bag weighs 4542.2 grams and Lindsay's bag weighs 1799.5 grams. What is the total weight of both their bags?
A. 6341.7 grams
B. 6354.2 grams
C. 6348.7 grams
D. 6334.7 grams

Solutions
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Step: 1
Total weight of both the bags = weight of Zelma's bag + weight of Lindsay's bag
Step: 2
= 4542.2 + 1799.5
  [Substitute the values.]
Step: 3


4542.2
+ 1799.5
...........
6341.7
...........
  
[Line up the decimal points.]



[Add.]
Step: 4
Total weight of both the bags is 6341.7 grams.
Correct Answer is :   6341.7 grams
Q7Arthur filled 26.5 gal of gasoline in his truck. After a long drive, he still had 6.3 gal of gasoline left in the truck. How much gasoline did the truck use?
A. 23.7 gal
B. 20.2 gal
C. 23.2 gal
D. 17.2 gal

Solutions
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Step: 1
Gasoline consumed = total gasoline - gasoline left after the drive
Step: 2
= 26.5 - 6.3
  [Substitute the values.]
Step: 3


26.5
- 6.3
.........
20.2
.........
  
[Line up the decimal points.]



[Subtract.]
Step: 4
So, 20.2 gal of gasoline was consumed during the long drive.
Correct Answer is :   20.2 gal
Q8There are 967.5 lbs of rice in a warehouse. 396.1 lbs of rice were sent to grocery stores. How many pounds of rice were left in the warehouse?
A. 571.4 lbs
B. 576.4 lbs
C. 575.4 lbs
D. 566.4 lbs

Solutions
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Step: 1
The quantity of rice that is left in the granary = Total quantity of rice - Quantity of rice sent to the dealers
Step: 2
= 967.5 - 396.1
  [Substitute.]
Step: 3


967.5
- 396.1
............
571.4
............
  

[Align decimal points.]

[Subtract.]
Step: 4
So, 571.4 lbs of rice are left in the granary.
Correct Answer is :   571.4 lbs
Q9Jim can walk a distance of 10 miles in 4 hours. How far does he walk in one hour?
A. 2.5 miles
B. 1.5 miles
C. 3.5 miles
D. 4.5 miles

Solutions
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Step: 1
Distance he walks in one hour = Total distance he walked in 4 hours ÷ 4
Step: 2
= 10 ÷ 4
  [Substitute the value.]
Step: 3
= 2.5
  [Divide.]
Step: 4
Jim can walk a distance of 2.5 miles in one hour.
Correct Answer is :   2.5 miles
Q10Joe buys 7 kg of apples and gives 2 kg to Tony. Who has more apples now?

A. Joe
B. Not enough information given
C. Tony
D. Both have equal quantities

Solutions
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Step: 1
The quantity of apples Joe bought is 7 kg.
Step: 2
The quantity of apples Joe gave Tony is 2 kg.
Step: 3
The quantity of apples left with Joe = the quantity of apples he bought - the quantity of apples he gave to Tony.
Step: 4
= 7 kg - 2 kg
  [Substitute the values.]
Step: 5
= 5 kg
  [Subtract]
Step: 6
5 kg > 2 kg
  [Compare the quantities.]
Step: 7
The quantity of apples left with Joe > the quantity of apples with Tony.
Step: 8
Among the two, Joe has greater quantity of apples.
Correct Answer is :   Joe
Q11Mr. William′s family moved from London to the USA. They carried 3 suitcases each weighing 70 lb. How much did their luggage weigh altogether?
A. 220 lb
B. 240 lb
C. 210 lb
D. 73 lb

Solutions
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Step: 1
The weight of the total luggage of Mr. William's family = the number of suitcases × the weight of each suitcase.
Step: 2
= 3 × 70
  [Substitute the values.]
Step: 3
= 3 × 7 × 10
  [7 × 10 = 70]
Step: 4
= 21 × 10 = 210
  
Step: 5
The luggage weighed 210 lb altogether.
Correct Answer is :   210 lb
Q12Lindsay bought a 40- inch ribbon and her sister gave her a 30 - inch ribbon. What is the total length of Lindsay′s ribbons?
A. 65 in
B. 80 in
C. 70 in
D. 60 in

Solutions
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Step: 1
Since Lindsay got more ribbon, we need to add the length of the ribbon she has and the length of the ribbon her sister gave her, to know the total length of the ribbons she has.
Step: 2
Total length of the ribbon she has = the length of the ribbon she had + the length of the ribbon her sister gave her
Step: 3
= 40 in + 30 in = 70 in.
  
Step: 4
Total length of the ribbon that she has is 70 inches.
Correct Answer is :   70 in
Q13Francis traveled 50 miles by bus, 70 miles by train, and 30 miles by car. Find the total distance he traveled.
A. 150 miles
B. 160 miles
C. 120 miles
D. 90 miles

Solutions
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Step: 1
To find the total distance that Francis traveled, we need to add the distances he traveled by car, by bus, and by train.
Step: 2
Distance traveled by bus + distance traveled by train + distance traveled by car = total distance he traveled.
Step: 3
50 miles + 70 miles + 30 miles = 150 miles.
  
Step: 4
So, he traveled a total distance of 150 miles.
Correct Answer is :   150 miles
Q14A water tank contains 6300.60 liters of water. 3540.25 more liters of water was added into it. Find the total quantity of water in the tank.
A. 9838.35 liters
B. 9842.35 liters
C. 9840.85 liters
D. 9835.35 liters

Solutions
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Step: 1
The quantity of water in the tank = original quantity of water + added water.
Step: 2
= 6300.60 + 3540.25
  [Substitute the values.]
Step: 3
  
     6300.60
     3540.25
     ...............
     9840.85
     ...............
  [Align the decimal points.]
Step: 4
So, the quantity of water in the tank is 9840.85 liters.
Correct Answer is :   9840.85 liters
Q15A fire truck holds 346.53 liters of water from which 202.34 liters of water was on a fire. Find the quantity of water left in the truck.

A. 144.39 liters
B. 144.19 liters
C. 143.49 liters
D. 144.89 liters

Solutions
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Step: 1
The quantity of water left in the truck = the quantity of water contained in the truck - the quantity of water used
Step: 2
= 346.53 - 202.34
  [Substitute the values.]
Step: 3
346.53  [Align the decimal points.]
- 202.34  
  144.19  [Subtract.]
Step: 4
So, the quantity of water left in the truck is 144.19 liters.
Correct Answer is :   144.19 liters

HighSchool Math