Sure, let's solve this step by step:

Step 1: Convert the time from minutes to hours since the speed is given in miles per hour. So, 40 minutes = 40/60 = 0.67 hours and 48 minutes = 48/60 = 0.8 hours.

Step 2: Let's denote the speed of the train from station X to station Y as 's' (in miles per hour). Therefore, the speed of the train from station Y to station X is 's - 6' (as the speed reduces by 6 miles per hour).

Step 3: We know that distance = speed * time. So, the distance from station X to station Y is 's * 0.67' and the distance from station Y to station X is '(s - 6) * 0.8'.

Step 4: Since the distance from station X to station Y is the same as the distance from station Y to station X, we can set these two equations equal to each other and solve for 's':

s * 0.67 = (s - 6) * 0.8

Step 5: Solve the above equation to find the value of 's'. Once you find 's', you can substitute it back into either of the distance equations to find the distance between station X and station Y.

Question

Sure, let's solve this step by step:

Step 1: Convert the time from minutes to hours since the speed is given in miles per hour. So, 40 minutes = 40/60 = 0.67 hours and 48 minutes = 48/60 = 0.8 hours.

Step 2: Let's denote the speed of the train from station X to station Y as 's' (in miles per hour). Therefore, the speed of the train from station Y to station X is 's - 6' (as the speed reduces by 6 miles per hour).

Step 3: We know that distance = speed * time. So, the distance from station X to station Y is 's * 0.67' and the distance from station Y to station X is '(s - 6) * 0.8'.

Step 4: Since the distance from station X to station Y is the same as the distance from station Y to station X, we can set these two equations equal to each other and solve for 's':

s * 0.67 = (s - 6) * 0.8

Step 5: Solve the above equation to find the value of 's'. Once you find 's', you can substitute it back into either of the distance equations to find the distance between station X and station Y.

Knowee AI · Accepted Answer

Sure, let's solve this step by step:

Step 1: Convert the time from minutes to hours since the speed is given in miles per hour. So, 40 minutes = 40/60 = 0.67 hours and 48 minutes = 48/60 = 0.8 hours.

Step 2: Let's denote the speed of the train from station X to station Y as 's' (in miles per hour). Therefore, the speed of the train from station Y to station X is 's - 6' (as the speed reduces by 6 miles per hour).

Step 3: We know that distance = speed * time. So, the distance from station X to station Y is 's * 0.67' and the distance from station Y to station X is '(s - 6) * 0.8'.

Step 4: Since the distance from station X to station Y is the same as the distance from station Y to station X, we can set these two equations equal to each other and solve for 's':

s * 0.67 = (s - 6) * 0.8

Step 5: Solve the above equation to find the value of 's'. Once you find 's', you can substitute it back into either of the distance equations to find the distance between station X and station Y.

A train starts from station X and completes its journey till station Y in 40 minutes. While returning from station Y to station X, the speed of the train reduces by 6 miles per hour, and it completes its return journey in 48 minutes. Calculate the distance between stations X and Y

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