8. A man walking at a speed of 10 km/hr takes 12 minutes to complete one round of the park.Find the distance covered by him. About the author Piper
Given : A man walking at a speed of 10 km/hr takes 12 minutes to complete one round of the park . Need To Find : The Distance Covered by man . ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ ⠀⠀⠀⠀As , We can see that the speed is given in km/h so and time is given in minutes so First we need to Convert the time from minutes to hours . ⠀⠀⠀⠀Converting the time from minutes to hours : As , We know that , [tex]\qquad \:\bigg\lgroup \sf{ 1 \:hrs \: = 60 min }\bigg\rgroup \\\\[/tex] Therefore , [tex]\qquad \:\bigg\lgroup \sf{ 1 \:min \: = \dfrac{1}{60} hrs }\bigg\rgroup \\\\[/tex] Now , [tex]\qquad \longmapsto \sf 12 min = \cancel {\dfrac{12}{60}} hrs \\ [/tex] [tex]\qquad \longmapsto \sf 12 min = 0.2 hrs \\ [/tex] Therefore, ⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm {\:Time \:taken \:is\:\bf{0.2\:hrs}}}}\\[/tex] ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ ⠀⠀⠀⠀Finding Distance Travelled by man : [tex]\dag\:\:\it{ As,\:We\:know\:that\::}\\[/tex] [tex]\qquad \dag\:\:\bigg\lgroup \sf{ Distance \:: Speed\times Time }\bigg\rgroup \\\\[/tex] ⠀⠀⠀⠀Here the given speed is 10 km/hr & the Time taken is 0.2 hrs . ⠀⠀⠀⠀⠀⠀[tex]\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\[/tex] [tex]\qquad \longmapsto \sf Distance = 10 \times 0.2 \\ [/tex] [tex]\qquad \longmapsto \frak{\underline{\purple{\:Distance = 2 km }} }\bigstar \\[/tex] Therefore, ⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm {\:Distance \:Travelled \:by\:man\:is\:\bf{2\:km}}}}\\[/tex] ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ Reply
Answer: He covered 2 km of distance. Step-by-step explanation: Given that: A man walking at a speed of 10 km/hr. Time taken to complete one round of park is 12 minutes. To Find: The distance covered by him. First converting the time in hours: We know that. ⇒ 1 minute = 1/60 hours ⇒ 12 minutes = 12/60 hours ⇒ 12 minutes = 0.2 hours Finding the distance covered by him: Formula: Distance = Speed × Time ⟶ Distance = 10 × 0.2 ⟶ Distance = 2 ∴ The distance covered by him = 2 km Reply
Given : A man walking at a speed of 10 km/hr takes 12 minutes to complete one round of the park .
Need To Find : The Distance Covered by man .
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⠀⠀⠀⠀As , We can see that the speed is given in km/h so and time is given in minutes so First we need to Convert the time from minutes to hours .
⠀⠀⠀⠀Converting the time from minutes to hours :
As , We know that ,
[tex]\qquad \:\bigg\lgroup \sf{ 1 \:hrs \: = 60 min }\bigg\rgroup \\\\[/tex]
Therefore ,
[tex]\qquad \:\bigg\lgroup \sf{ 1 \:min \: = \dfrac{1}{60} hrs }\bigg\rgroup \\\\[/tex]
Now ,
[tex]\qquad \longmapsto \sf 12 min = \cancel {\dfrac{12}{60}} hrs \\ [/tex]
[tex]\qquad \longmapsto \sf 12 min = 0.2 hrs \\ [/tex]
Therefore,
⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm {\:Time \:taken \:is\:\bf{0.2\:hrs}}}}\\[/tex]
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⠀⠀⠀⠀Finding Distance Travelled by man :
[tex]\dag\:\:\it{ As,\:We\:know\:that\::}\\[/tex]
[tex]\qquad \dag\:\:\bigg\lgroup \sf{ Distance \:: Speed\times Time }\bigg\rgroup \\\\[/tex]
⠀⠀⠀⠀Here the given speed is 10 km/hr & the Time taken is 0.2 hrs .
⠀⠀⠀⠀⠀⠀[tex]\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\[/tex]
[tex]\qquad \longmapsto \sf Distance = 10 \times 0.2 \\ [/tex]
[tex]\qquad \longmapsto \frak{\underline{\purple{\:Distance = 2 km }} }\bigstar \\[/tex]
Therefore,
⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm {\:Distance \:Travelled \:by\:man\:is\:\bf{2\:km}}}}\\[/tex]
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Answer:
Step-by-step explanation:
Given that:
To Find:
First converting the time in hours:
We know that.
⇒ 1 minute = 1/60 hours
⇒ 12 minutes = 12/60 hours
⇒ 12 minutes = 0.2 hours
Finding the distance covered by him:
Formula: Distance = Speed × Time
⟶ Distance = 10 × 0.2
⟶ Distance = 2
∴ The distance covered by him = 2 km