Question

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 that distance?

Answer 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,

$\boxed { \sf\: distance \: = \: speed \: \times time}$

$\implies\sf \: Distance= 12 × \dfrac{1}{3}$

• $\implies\sf \: Distance=4 \: miles$

And Now put that distance into Jim's time

$~~~~~~~~~~~~ \sf \: Time = 15 \: minutes \\~~~~~~~~~~~ \sf \: time = \dfrac{1}{4} \: hour \: \: \: \: \: \:$

• $\sf \: Distance= 4 \: miles$

$\implies \sf \: Speed= distance \div time$

$\implies\sf \: Speed= 4 \div \frac{1}{4}$

$\implies\sf \: Speed= 4 \times 4$

$~~~~~~~~~\underline{\boxed{\sf \: Speed= 16 \: mph}}$