Basic Mathematics Problems: Time, Speed and Unit Conversion Solutions

This document presents a solved assignment on basic mathematics, focusing on problems related to time, speed, and unit conversions. The assignment includes converting units of time (minutes to seconds, hours to minutes, days to hours, years to seconds, and seconds to hours), converting units of speed (km/hour to m/s and m/s to km/hour), and solving practical problems involving height comparisons and speed calculations. For example, it calculates how many people stacked on top of each other would reach the height of the CN Tower and compares the speed of a standing skateboarder to that of a snail. The solutions provide detailed step-by-step calculations, making it a useful resource for students studying basic mathematics. Desklib offers a platform for students to access similar solved assignments and study resources.

Running head: BASIC MATHEMATICS
Basic Mathematics
Name of the Student:
Name of the University:
Author’s note:

1BASIC MATHEMATICS
Table of Contents
Answer 1....................................................................................................................................2
Answer 1.a)............................................................................................................................2
Answer 1.b)............................................................................................................................2
Answer 1.c)............................................................................................................................2
Answer 1.d)............................................................................................................................2
Answer 1.e)............................................................................................................................2
Answer 2....................................................................................................................................2
Answer 2.a)............................................................................................................................2
Answer 2.b)............................................................................................................................2
Answer 2.c)............................................................................................................................2
Answer 2.d)............................................................................................................................3
Answer 3....................................................................................................................................3
Answer 3.a)............................................................................................................................3
Answer 3.b)............................................................................................................................3
Answer 4....................................................................................................................................4
Answer 4.a)............................................................................................................................4
Answer 4.b)............................................................................................................................4

2BASIC MATHEMATICS
Answers:
Answer 1.
Answer 1.a)
20 minutes = (20*60) seconds = 1200 seconds.
Answer 1.b)
6.5 hours = (6.5 *24) minutes = 156 minutes.
Answer 1.c)
0.6 days = (0.6*24) hours = 14.4 hours.
Answer 1.d)
4.5 years = (4.5*365*24*60*60) seconds = 141912000 seconds.
Answer 1.e)
453 seconds = ( 453
(60∗60) ¿ hours = 0.125833 hours.
Answer 2.
Answer 2.a)
25 km/hour = (25∗1000)
(1∗3600) m/s = 25000
3600 m/s = 6.944444 m/s.
Answer 2.b)
150 km/hour = (150∗1000)
(1∗3600) m/s = 150000
3600 m/s = 41.66667 m/s.
Answer 2.c)
2 m/s =
(2/1000)
( 1
3600 )
km/hr = (2∗3600)
(1∗1000) km/hr = 7.2 km/hr.

3BASIC MATHEMATICS
Answer 2.d)
50 m/s =
(50 /1000)
( 1
3600 )
km/hr = (50∗3600)
(1∗1000) km/hr = 180 km/hr.
Answer 3.
Answer 3.a)
A person is 175 cm. tall.
The height of the tower is 553 mitres.
Now, 553 mitres = (553*100) centimetres = 55300 cm.
Hence, the number of people that are to stack one on the tap of another to reach to the
top of CN tower is ( 55300
175 ) = 316.
Answer 3.b)
The height of CN tower = 553 mitre = 55300 cm.
Now, 1 inch = 2.54 cm. 12 inches = 1 foot
The height of the CN tower = 55300
2.54 inch = 21771.65354 inch.
Finally, the height of CN tower = 21771.65354
12 foot = 1814.304462 foot.

4BASIC MATHEMATICS
Answer 4.
Answer 4.a)
The maximum speed reached by standing skateboarder is 14.7 m/s. The speed is converted
as- ( 14.7
1000 )
( 1
3600 )
km/hr = (14.7∗3600)
(1∗1000) km/hr = 52.92 km/hr.
The permitted speed of a standing skateboarder is 30km/hr. The maximum speed of the
standing skateboarder is 52.92 km/hr. Now, maximum speed>permitted speed (52.92>30).
Hence, the skateboard would not get a ticket.
Answer 4.b)
A snail crawls 100 times slower than a normal human walk. The normal speed of human
walk is 3km/hr.
The speed of the snail is ( 3
100) km/hr = 0.03 km/hr.
The speed of standing skateboarder is 52.92 km/hr. Therefore, the speed of snail is ( 52.92
0.03 ¿=
1764 times slower than speed of of standing skateboarder.

5BASIC MATHEMATICS