Time and Distance - Arithmetic
Solved Examples:7
Conversion of kilometer into miles
8 kilometer = 5 miles
Thus, 1 kilometer = 5/8 km
Or, 1 km = 0.625 miles
Solved Examples
Question (1) The distance between New York to Atlanta in USA is about 1408 kilometer. What will be the distance between New York to Atlanta in USA in miles?
(a) 850 miles
(b) 860 miles
(c) 870 miles
(d) 880 miles
Answer: (d) 880 miles
Solution
Given, the distance between New York to Atlanta in USA = 1408 km
Thus, distance in miles = ?
We know that, 1 km = 5/8 miles
Thus, 1408 km
= 176 × 5 = 880 miles
Thus, the distance between New York to Atlanta in USA = 880 miles Answer
Alternate Method to convert kilometer into miles
Given, the distance between New York to Atlanta in USA = 1408 km
Thus, distance in miles = ?
We know that, 1 km = 0.625 miles
Thus, 1408 km = 1408 × 0.625 miles
⇒ 1408 km = 880 miles
Thus, the distance between New York to Atlanta in USA = 880 miles Answer
Question (2) The distance between New York to San Francisco in USA is about 4640 kilometer. What will be the distance from New York to San Francisco in USA in miles?
(a) 2800 miles
(b) 2900 miles
(c) 3000 miles
(d) 3100 miles
Answer: (b) 2900 miles
Solution
Given, the distance between New York to San Francisco in USA = 4640 km
Thus, distance in miles = ?
We know that, 1 km = 5/8 miles
Thus, 1408 km
= 580 × 5 = 2900 miles
Thus, distance between New York to San Francisco in USA = 2900 miles Answer
Alternate Method to convert kilometer into miles
Given, the distance between New York to San Francisco in USA = 4640 km
Thus, distance in miles = ?
We know that, 1 km = 0.625 miles
Thus, 4640 km = 4640 × 0.625 miles
⇒ 4640 km = 2900 miles
Thus, the distance between New York to San Francisco in USA = 2900 miles Answer
Question (3) The distance between New Jersey to Trenton in USA is about 48 kilometer. What will be the distance from New Jersey to Trenton in USA in miles?
(a) 30 miles
(b) 35 miles
(c) 40 miles
(d) 45 miles
Answer: (a) 30 miles
Solution
Given, the distance between New Jersey to Trenton in USA = 48 km
Thus, distance in miles = ?
We know that, 1 km = 5/8 miles
Thus, 48 km
= 6 × 5 = 30 miles
Thus, distance between New Jersey to Trenton in USA = 30 miles Answer
Alternate Method to convert kilometer into miles
Given, the distance between New Jersey to Trenton in USA = 4640 km
Thus, distance in miles = ?
We know that, 1 km = 0.625 miles
Thus, 48 km = 48 × 0.625 miles
⇒ 48 km = 30 miles
Thus, the distance between New Jersey to Trenton in USA = 30 miles Answer
Question (4) The distance between New Jersey to New York in USA is about 112 kilometer. What will be the distance from New Jersey to New York in USA in miles?
(a) 50 miles
(b) 60 miles
(c) 70 miles
(d) 80 miles
Answer: (c) 70 miles
Solution
Given, the distance between New Jersey to New York in USA = 112 km
Thus, distance in miles = ?
We know that, 1 km = 5/8 miles
Thus, 112 km
= 14 × 5 = 70 miles
Thus, distance between New Jersey to New York in USA = 70 miles Answer
Alternate Method to convert kilometer into miles
Given, the distance between New Jersey to New York in USA = 112 km
Thus, distance in miles = ?
We know that, 1 km = 0.625 miles
Thus, 112 km = 112 × 0.625 miles
⇒ 112 km = 70 miles
Thus, the distance between New Jersey to Trenton in USA = 30 miles Answer
Question (5) The air distance between New York to Singapore is about 15320 kilometer. What will be the distance from New York to Singapore in miles?
(a) 9500 miles
(b) 9525 miles
(c) 9550 miles
(d) 9575 miles
Answer: (d) 9575 miles
Solution
Given, the air distance between New York to Singapore = 15320 km
Thus, distance in miles = ?
We know that, 1 km = 5/8 miles
Thus, 15320 km
= 1915 × 5 = 9575 miles
Thus, the air distance between New York to Singapore = 9575 miles Answer
Alternate Method to convert kilometer into miles
Given, the air distance between New York to Singapore = 15320 km
Thus, distance in miles = ?
We know that, 1 km = 0.625 miles
Thus, 15320 km = 15320 × 0.625 miles
⇒ 15320 km = 9575 miles
Thus, the air distance between New York to Singapore = 9575 miles Answer
Question (6) The air distance between New York, USA to Canberra, Australia is about 16216 kilometer. What will be the distance from New York, USA to Canberra, Australia in miles?
(a) 10135 miles
(b) 10145 miles
(c) 10155 miles
(d) 10165 miles
Answer: (a) 10135 miles
Solution
Given, the air distance between New York, USA to Canberra, Australia = 16216 km
Thus, distance in miles = ?
We know that, 1 km = 5/8 miles
Thus, 16216 km
= 2027 × 5 = 10135 miles
Thus, the air distance between New York, USA to Canberra, Australia = 10135 miles Answer
Alternate Method to convert kilometer into miles
Given, the air distance between New York to Singapore = 16216 km
Thus, distance in miles = ?
We know that, 1 km = 0.625 miles
Thus, 16216 km = 16216 × 0.625 miles
⇒ 16216 km = 10135 miles
Thus, the air distance between New York, USA to Canberra, Australia = 10135 miles Answer
Question (7) If a cab is running with a speed of 80 km per hour, then what will be its speed in miles per hour?
(a) 40 miles/h
(b) 50 miles/h
(c) 60 miles/h
(d) 70 miles/h
Answer: (b) 50 miles/h
Solution
Given, speed of the cab = 80 km/h
Thus, speed in miles/h = ?
We know that, 1 km = 5/8 miles
Thus, 80 km
= 10 × 5 = 50 miles
Thus, the speed of the given cab = 50 miles/h Answer
Alternate Method to convert kilometer per hour into miles per hour
Given, speed of the cab = 80 km/h
Thus, speed in miles/h = ?
We know that, 1 km = 0.625 miles
Thus, 80 km = 80 × 0.625 miles
⇒ 80 km = 50 miles
Thus, the speed of the given cab = 50 miles/h Answer
Question (8) If a cab is running with a speed of 88 km per hour, then what will be its speed in miles per hour?
(a) 35 miles/h
(b) 45 miles/h
(c) 55 miles/h
(d) 65 miles/h
Answer: (b) 55 miles/h
Solution
Given, speed of the cab = 88 km/h
Thus, speed in miles/h = ?
We know that, 1 km = 5/8 miles
Thus, 88 km
= 11 × 5 = 55 miles
Thus, the speed of the given cab = 55 miles/h Answer
Alternate Method to convert kilometer per hour into miles per hour
Given, speed of the cab = 88 km/h
Thus, speed in miles/h = ?
We know that, 1 km = 0.625 miles
Thus, 88 km = 88 × 0.625 miles
⇒ 88 km = 55 miles
Thus, the speed of the given cab = 55 miles/h Answer
Question (9) If a cab is running with a speed of 40 km per hour, then what will be its speed in miles per hour?
(a) 25 miles/h
(b) 35 miles/h
(c) 15 miles/h
(d) 20 miles/h
Answer: (a) 25 miles/h
Solution
Given, speed of the cab = 40 km/h
Thus, speed in miles/h = ?
We know that, 1 km = 5/8 miles
Thus, 40 km
= 5 × 5 = 25 miles
Thus, the speed of the given cab = 25 miles/h Answer
Alternate Method to convert kilometer per hour into miles per hour
Given, speed of the cab = 40 km/h
Thus, speed in miles/h = ?
We know that, 1 km = 0.625 miles
Thus, 40 km = 40 × 0.625 miles
⇒ 40 km = 25 miles
Thus, the speed of the given cab = 25 miles/h Answer
Question (10) If a cyclist is running with a speed of 12 km per hour, then what will be its speed in miles per hour?
(a) 5.5 miles/h
(b) 6.5 miles/h
(c) 7.5 miles/h
(d) 8.5 miles/h
Answer: (c) 7.5 miles/h
Solution
Given, speed of the cyclist = 12 km/h
Thus, speed in miles/h = ?
We know that, 1 km = 5/8 miles
Thus, 12 km
= 1.5 × 5 = 7.5 miles
Thus, the speed of the cyclist = 7.5 miles/h Answer
Alternate Method to convert kilometer per hour into miles per hour
Given, speed of the cyclist = 12 km/h
Thus, speed in miles/h = ?
We know that, 1 km = 0.625 miles
Thus, 12 km = 12 × 0.625 miles
⇒ 12 km = 7.5 miles
Thus, the speed of the given cyclist = 7.5 miles/h Answer
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