A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he gets tired and decides to get a taxi. The taxi gets him to the top travelling at a constant speed of 50 mph. If the tourist reaches the destination 2 hours after he started, what distance does he have to pay the cab driver for?
(Please don't put the answer just the formula)
Distance walking --- x
distance by cab ---- 31-x
time walking = x/4
time by cab = (31-x)/50
Your "formula", we call it an equation
x/4 + (31-x)/50 = 2
solve for x, plug x into 31-x
i meant that sorry i was in science
x=6
correct
To find the distance that the tourist has to pay the cab driver for, we need to calculate the distance he walked and subtract it from the total distance of the mountain path.
To find the distance the tourist walked, we can use the formula:
Distance = Speed x Time
The tourist walked for a certain amount of time before taking the taxi. Let's call this time "t".
So, the distance the tourist walked is:
Distance walked = Speed x Time walked
Distance walked = 4 mph x t
Now, let's find the time the tourist walked. We know that he reached the destination 2 hours after he started. Therefore, the time he walked is:
Time walked = Total time - Time in taxi
Time walked = 2 hours - Time in taxi
Now, to find the distance the tourist walked, we substitute the value of time walked:
Distance walked = 4 mph x (2 hours - Time in taxi)
To find the distance the tourist has to pay the cab driver, we subtract the distance walked from the total distance of the mountain path:
Distance to pay the cab driver = Total distance - Distance walked
Distance to pay the cab driver = 31 miles - 4 mph x (2 hours - Time in taxi)
Thus, the formula to calculate the distance the tourist has to pay the cab driver for is:
Distance to pay the cab driver = Total distance - 4 mph x (2 hours - Time in taxi)