a girl rides a bycycle with 10kmph for 1 hour and 15kmph for next 3 hours find the distance and average speed
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a girl rides a bycycle with 10kmph for 1 hour and 15kmph for next 3 hours find the distance and average speed
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[tex]\large\underline{\underline{\maltese{\purple{\pmb{\sf{\:Given :-}}}}}}[/tex]
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[tex]\large\underline{\underline{\maltese{\gray{\pmb{\sf{\: To \: Find:-}}}}}}[/tex]
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[tex]\large\underline{\underline{\maltese{\pink{\pmb{\sf{\:Solution :-}}}}}}[/tex]
❒ Formula Used :
➳ Distance :
[tex]\large\orange\bigstar{\underline{\boxed{\color{red}{\sf{Distance = Speed \times Time}}}}}[/tex]
➳ Average Speed :
[tex]\large\orange\bigstar{\underline{\boxed{\color{red}{\sf{Average \: Speed = \dfrac{Total \: Distance}{Total \: Time}}}}}}[/tex]
[tex]\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
❒ Distance Covered :
[tex]{:\implies\sf{Distance = Speed \times Time}}[/tex]
[tex]{\implies\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: 10 \times 1}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{\longmapsto{\underline{\boxed{\green{\sf{D{\small_{1}} = 10 \: km}}}}}}{\purple{\bigstar}}[/tex]
[tex]{:\implies\sf{Distance = Speed \times Time}}[/tex]
[tex]{\implies\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: 15 \times 3}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{\longmapsto{\underline{\boxed{\green{\sf{D{\small_{2}} = 45 \: km}}}}}}{\purple{\bigstar}}[/tex]
[tex]{:\implies\sf{Total\:Distance = D{\small_{1}} + D{\small_{2}}}}[/tex]
[tex]{\implies\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: 10 + 45}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \large{\longmapsto{\underline{\boxed{\green{\sf{Total \: Distance = 55\: km}}}}}}{\purple{\bigstar}}[/tex]
[tex]\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
[tex]{:\implies\sf{Average\:Speed = \dfrac{Total\:Distance}{Total\:Time}}}
[/tex]
[tex]{\implies\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \dfrac{10 + 45}{1 + 3}}}
[/tex]
[tex]{\implies\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \dfrac{55}{4}}}
[/tex]
[tex]{\implies\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \cancel\dfrac{55}{4}}}
[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \large{\longmapsto{\underline{\boxed{\green{\sf{Average\:Speed = 13.75 \: km/h}}}}}}{\purple{\bigstar}}[/tex]
[tex]\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
❒ Therefore :
❝ Total Distance covered is 55 km . ❞
❝ Average speed of bicycle is 13.75 km/h . ❞
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hi friend!!!!
Explanation:
Distance moved=(2*10)+(3*15)=20+45=65 km and time =2+3=5 hrs . So average speed=65/5=13 km/hr.