it took jason 3.6 hours to drive to his brothers house on saturday morning. on his return trip on sunday night, traffic was heavier, so the trip took him 4 hours. his average speedon sunday was 4 mph slower than on saturday. what was his average speed on sunday?



Answer :

On Sunday, Jason's average speed was 36 m/s.

The amount of distance traveled in a certain amount of time is essentially the speed.

Jason had to travel 3.6 hours to her brother's home on Saturday morning. Jason's journey home on Sunday night took him 4 hours owing to a lot of traffic.

Let's assume that d is the distance between Jason's house and his brother's house.

  • Saturday

[tex]s= \frac{d}{t} \\s= \frac{d}{3.6} .....equation (i)[/tex]

  • Sunday

[tex]s= \frac{d}{t} \\s= \frac{d}{4} .....equation (ii)[/tex]

Sunday was a 5-mile-per-hour slower day for her than Saturday. You can write this as it is shown below.

[tex]\frac{d}{4} = \frac{d}{3.6} -4[/tex]

We can calculate the distance by resolving the equation above.

[tex]-0.4d=-4(4*3.6)\\-0.4d= -4*14.4\\-0.4d= 57.6\\d= 144[/tex]

As a result, the calculation for Sunday's speed is as follows.

[tex]s= \frac{144}{4} \\s= 36[/tex]

Thus, we can deduce that Jason traveled at a speed of 36 m/s on his way home on Sunday.

To learn more about speed, refer:-

https://brainly.com/question/312131

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