With no stops, it takes 3 hours for a motorist to make a trip driving at an average speed of 65 mph. when the motorist stops for gas and a sandwich on the same trip, he averages 60 mph. how many minutes long is the stop?

The  time for which motorist stop for gas and sandwich is 15 minutes

Step-by-step explanation:

Given as :

Let The distance cover by motorist = d miles

Let The time for which motorist stop = n minutes

The time taken by motorist to cover d distance with no stop = t = 3 hours

The average speed of motorist with no stop = s = 65 miles per hour

Again

The time taken by motorist to cover d distance with stop = T hours

The average speed of motorist with stop = S = 60 miles per hour

∵ Distance = Speed × Time

So, with no stop

d = s × t

Or, d = 65 miles per hour × 3 hours

Or, d = 195 miles

And, with stop

d = S × T

Or, d = 60 miles per hour × T hours

∵ d = 195 miles

So, 60 miles per hour × T hours = 195 miles

Or , 60 T = 195

∴ T =

i.e T = 3.25 hours

Or, T = 3 hours + hours

Or, T = 3 hours +   hours

Or, T = 3 hours +   minutes

Or, T = 3 hours + 15 minutes

So, time taken by motorist to cover d distance with stop = T = 3 h + 15 min

Now,

The time for which motorist stop = time taken by motorist to cover d distance with stop - time taken by motorist to cover d distance with no stop

i.e n = T - t

Or, n = ( 3 hours + 15 minutes) - ( 3 hours)

∴ n = 15 minutes

So, The time for which motorist stop = n = 15 minutes

Hence, The  time for which motorist stop for gas and sandwich is 15 minutes . Answer

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

3030 ur welcome

step-by-step explanation: