A person travels by car from one city to another with...

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 60.0 min at 90.0 km/h, 8.0 min at 80 km/h and 35.0 min at 40.0 km/h, and spends 30.0 min eating lunch and buying gas along the way. To find the average speed for the trip, which one or more of the following quantities must be known? The total distance traveled. The total time, including the break time. The total driving time (excluding break time). Calculate the distance traveled along this route. (You need to enter the units here, and it is OK to use km.) Calculate the average speed for the trip. (You again need to enter units, and km/h is OK.)

Transcript

00:01 So here in this question we are given that a person traveled by car from one city to another she drives from time is given that is equals to 15 minutes and the distance at that time is 70 kilometers per hour.

00:15 This is basically the speed and at the time let's say this is t1 t2 that is equals to 14 minutes.

00:24 The speed at that time will be 80 kilometers per hour and for the time t3 that is equals to 30 minutes.

00:35 The speed at that time will be 35 kilometers per hour.

00:39 Let's say this is s3 s2 and s1 from here.

00:45 So from here what we can say that we need to find out the distance which is traveled by the each segment of trip.

00:53 So we can say that the distance from here is equals to the speed that is multiplied by the time.

01:00 So speed here we are given for the first so d1 from here is equals to 70 multiplied by the time that is equals to 50 minute and distance is in kilometer per hour.

01:13 We have to convert this into hour.

01:14 So 15 minute divided by the 60 that is converted into the hour.

01:19 So solving from here we get the value of d that is equals to 17 .5 kilometer.

01:24 For the second segment d2 from here will be equals to s2 multiplied by the t2 that is 14 divided by the 60.

01:37 Solving from here we get the value of d2 that is equals to 18 .67 kilometer.

01:44 So this is the value of d2 from here.

01:46 Now for the distance d3 it is s3 multiplied by the t3 that from here is equals to the 35 multiplied by the t that is equals to 30 divided by the 60.

01:59 Solving from here we get the value of d3 that is equals to 17 .5 kilometer.

02:06 So the total distance traveled by the trip is equals to the sum of all the distances that is d1 plus d2 plus d3 that from here is equals to 17 .5 plus 18 .67 plus 17 .5...

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