Two trains move between two towns. It takes the first train 2 hr 48 min and it takes the second 4 hr 40 min. The rate of the first train is 26 mph more thaTwo trains move between two towns. It takes the first train 2 hr 48 min and it takes the second 4 hr 40 min. The rate of the first train is 26 mph more than that of the second train. What is the distance between these towns

182 miles.

Step-by-step explanation:

Given:

Two trains move between two towns.

Time taken by first train = 2 hr 48 minutes =

Change minute into hour:

60 minute = 1 hour

1 minute =

48 minutes =

Time taken by first train in hour =

Time taken by second train =  4 hr 40 minutes

Similarly, 40 minutes =

Time taken by second train in hour =

The rate of the first train is 26 mph more than that of the second train.

Question asked:

What is the distance between these towns ?

Solution:

Let speed of second train =

As the speed of the first train is 26 mph more than that of the second train.

Speed of first train =

As two trains move between two towns means distance traveled by both train is same.

By using :

Distance traveled by first train = Distance traveled by second train

=

Subtracting both sides by

Dividing both sides by 1.87

Speed of second train = 38.93 miles per hour

              = 38.93 4.67

              = 181.80 miles.

Thus, the distance between these towns is 182 miles (nearest whole number).

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.