That is the point: "I figured the speed of the truck was 100%. The car's speed was 115% of that of the truck." The rest is easy: I divided 82 by 115 and multiplied the result by 100. Of course the same result: 71.3 mph.
I really enjoy your videos. I made the exact mistake that you predicted. The way you explain things is a great example of attention to detail. Thank you for your content. Keep up the good work.
the key here is percent up and down are different. If I mark up a product by 20%, then to get back to original means marking down new price by 16.7%. $1.00 up 20% = $1.20 $1.20 down 16.7% = $1.00 $1.00 up 15% = $1.15 $1.15 down 13% = $1.00 C = car speed T = truck speed this problem: C = T × (1.15) where C = 82 mph 82mi/hr = T × 1.15 T = 82÷1.15 = 71.30 mph Verify => C = T × 1.15 82 = ? 71.30 × 1.15 82 =❤ 81.995 ✔️
@@davidfalgout7304 Because the truck's speed is not 71.30, it's 71.304347826086957 (plus even more numbers). But since you can't read all those digits on a speedometer, you can round it off to 71.30 and the car's speed of 81.995 to 82.00.
This is why I'm bad at math problems. I see something like this and instead of figuring out to solve it, the first thing out of my mouth is: why are we going 82MPH? Is this a pickup truck or semi truck? Does driver have proper CDL?
Greetings. The answer is 71.3 MPH. Now, we will assume that the Truck's speed is X MPH. Moving forward, the car's speed will be the Truck's speed plus 15% of the Track's speed. That is X+15X%. Additionally, we are told that the Car's speed is 82 MPH. Therefore, we will equate the speeds of the car to get X+15X%=82, and 100X+15X=8,200, 115X=8,200 from which it is determined that X =71.3 MPH, rounded.
If the car is the one travelling 15% faster that means that 82 mph is 115% So, if we call the speed of the truck 1X that means that 1X + 0.15X = 82 1.15X = 82 X = 82/1.15 X = 71.3 71.3 mph
.82 X 85 69.7 The 'error' here,, nearly every 'governed' truck is speed set to 67 mph. Or per the reading of the problem,,, read it three times,, 82 divided by 115 equals, .713 X 100 equals 71.3 mph. The writing of the problem would lead me to believe the 71.3 (Must be a privately owned,,,, Peterbilt. 589)
i thought it was 69.7 (8.2 mph is 10%) and half that is (4.1 mph thats half of 10% (5%) so 82 minus 12.3 (12.3 is the 8.2 + 4.1 mph) so 82 mph minus the 12.3 is the 69.7 mph right !!
82 miles an hour is 100% so each percent is worth 0.82 x 15 means 15% = 12.3 subtract that from your 82 the truck would be traveling at 69.7 I could be wrong not educated
IMHO the explanation in video is wrong. If cars speed is 15% faster than truck, to get from truck to car speed you would multiply by 1.15 (ie increase truck speed by 15 %) to get back again, simply divide by 1.15..So truck speed is 82/1.15= 71 mph (approx)
81.995 does not = 82. 82 mph is 82mph....period! Something is still wrong. I did the 69.7 answer, then checked it like you did and saw that was not correct either. So explain why the answer does not add up to the 82!
Useful opportunity to juggle our tired brain cells but could you keep the talk to a minimum! The intro could be minimal ; you will still receive the perks😊