it took jen, who biked at a speed of 12 mph, 20 minutes to get home. What is jim’s speed, if it took him only 15 minutes to bike t

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1. Given

   • Speed= 12 mph
   • Time = 20 Minutes

   To Find

   • What is jim’s speed?

   Solution

   • Time = 20 Minutes = 1/3 Hours

   We know That,

   [tex] \boxed { \sf\: distance \: = \: speed \: \times time}[/tex]

   [tex] \implies\sf \: Distance= 12 × \dfrac{1}{3} [/tex]

   • [tex] \implies\sf \: Distance=4 \: miles[/tex]

   And Now put that distance into Jim’s time

   [tex]~~~~~~~~~~~~ \sf \: Time = 15 \: minutes \\~~~~~~~~~~~ \sf \: time = \dfrac{1}{4} \: hour \: \: \: \: \: \: [/tex]

   • [tex] \sf \: Distance= 4 \: miles[/tex]

   [tex]\implies \sf \: Speed= distance \div time[/tex]

   [tex]\implies\sf \: Speed= 4 \div \frac{1}{4} [/tex]

   [tex]\implies\sf \: Speed= 4 \times 4[/tex]

   [tex]~~~~~~~~~\underline{\boxed{\sf \: Speed= 16 \: mph}}[/tex]

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