Time and Distance

Math-home

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 `=\cancel(48)\ 6xx5/\cancel(8)` miles

= 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 `=\cancel(112)\ 14xx5/\cancel(8)` miles

= 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 `=\cancel(15320)\ 1915xx5/\cancel(8)` miles

= 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 `=\cancel(16216)\ 2027xx5/\cancel(8)` miles

= 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 `=\cancel(80)\ 10xx5/\cancel(8)` miles

= 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 `=\cancel(88)\ 11xx5/\cancel(8)` miles

= 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 `=\cancel(40)\ 5xx5/\cancel(8)` miles

= 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 `=\cancel(12)\ 1.5xx5/\cancel(8)` miles

= 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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