Answer:
Step-by-step explanation:
we know that,
[tex]speed = \frac{distance}{time} [/tex]
the car travels
[tex]speed = \frac{165 \: km}{3 \: hr} [/tex]
therefore,
[tex]1 \: km = 1000 \: m = {10}^{3} m[/tex]
[tex]1 \: min = 60 \: sec[/tex]
then
[tex]1 \: min \times 60 = 60 \: min = 1 \: hr[/tex]
[tex]60 \: sec \times 60 = 3600 \: sec = 1 \: hr \\ \\1 \: min \times 60 = 1 \: hr[/tex]
[tex]3600 \: sec = 1 \: hr[/tex]
the speed of the car is given by
[tex]speed = \frac{165 \times {10}^{3} \: m}{3 \times 3600 \: sec} [/tex]
[tex]speed = \frac{550 \: m}{36 \: sec} [/tex]
[tex]speed = \frac{165}{3} \times \frac{10}{36} \frac{m}{sec} [/tex]
[tex]speed = 55 \times \frac{ 10}{36} \frac{m}{sec} [/tex]
[tex]speed = \frac{275}{18} \frac{m}{sec} [/tex]
[tex]speed = \frac{3.5}{2} \frac{m}{sec} [/tex]
[tex]speed = 1.75 \frac{m}{sec} [/tex]
b) how long it takes to travel 440 Km
[tex]distance = speed \times time[/tex]
[tex]time = \frac{distance}{speed} [/tex]
we know that the speed of the car is 1.75 meter per second, and the distance need to be traveled I. e, 440 Km
[tex]time = \frac{440 \: km}{1.75 \frac{m}{sec} } [/tex]
[tex]time = \frac{440 \times {10}^{3} \: m}{1.75 \frac{m}{sec} } [/tex]
[tex]time = \frac{440 \times {10}^{3} }{175 \times {10}^{ - 2} } sec[/tex]
[tex]time = \frac{440 \times {10}^{3} \times {10}^{2} }{175} sec[/tex]
[tex]time = \frac{88 \times 10 \times {10}^{4} }{35} [/tex]
[tex]time = \frac{88 \times 2 \times {10}^{4} }{7} [/tex]
time =125700 X 2 sec
time = 419 min
time= 69.83 hour
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Answers & Comments
Answer:
Step-by-step explanation:
Answer:
we know that,
[tex]speed = \frac{distance}{time} [/tex]
the car travels
[tex]speed = \frac{165 \: km}{3 \: hr} [/tex]
therefore,
[tex]1 \: km = 1000 \: m = {10}^{3} m[/tex]
[tex]1 \: min = 60 \: sec[/tex]
then
[tex]1 \: min \times 60 = 60 \: min = 1 \: hr[/tex]
[tex]60 \: sec \times 60 = 3600 \: sec = 1 \: hr \\ \\1 \: min \times 60 = 1 \: hr[/tex]
[tex]3600 \: sec = 1 \: hr[/tex]
the speed of the car is given by
[tex]speed = \frac{165 \times {10}^{3} \: m}{3 \times 3600 \: sec} [/tex]
[tex]speed = \frac{550 \: m}{36 \: sec} [/tex]
[tex]speed = \frac{165}{3} \times \frac{10}{36} \frac{m}{sec} [/tex]
[tex]speed = 55 \times \frac{ 10}{36} \frac{m}{sec} [/tex]
[tex]speed = \frac{275}{18} \frac{m}{sec} [/tex]
[tex]speed = \frac{3.5}{2} \frac{m}{sec} [/tex]
[tex]speed = 1.75 \frac{m}{sec} [/tex]
b) how long it takes to travel 440 Km
[tex]speed = \frac{distance}{time} [/tex]
[tex]distance = speed \times time[/tex]
[tex]time = \frac{distance}{speed} [/tex]
we know that the speed of the car is 1.75 meter per second, and the distance need to be traveled I. e, 440 Km
[tex]time = \frac{440 \: km}{1.75 \frac{m}{sec} } [/tex]
[tex]time = \frac{440 \times {10}^{3} \: m}{1.75 \frac{m}{sec} } [/tex]
[tex]time = \frac{440 \times {10}^{3} }{175 \times {10}^{ - 2} } sec[/tex]
[tex]time = \frac{440 \times {10}^{3} \times {10}^{2} }{175} sec[/tex]
[tex]time = \frac{88 \times 10 \times {10}^{4} }{35} [/tex]
[tex]time = \frac{88 \times 2 \times {10}^{4} }{7} [/tex]
time =125700 X 2 sec
time = 419 min
time= 69.83 hour