How do I calculate the initial speed?

Good day, I've been struggling with this example for two hours. Chatgpt and others have only given me wrong answers. "Someone drives for 1.5 hours at a constant speed and covers a certain distance. If the speed is reduced by 20 percent, the time stays the same but the distance is 15km less." I already know that the result should be 50km/h. Thanks in advance.

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Willy1729
1 year ago

Hello,

1.5x=1.5*0,8x+15 after x dissolve.

Best regards,

Willy

evtldocha
1 year ago

I call the same driving time times tf . Then:

So:

EdCent
1 year ago

Hello,

t1=1,5h, v1,s1

t2=t1, v2=0,8•v1, s2=s1-15km

s=v•t –> t=s/v

s1/v1 = (s1-15km)/(0,8•v1) |•v1

s1 = (s1-15km)/0,8 |•0,8

0,8s1 = s1 – 15km

s1=75km, s2=60km

v1 = s1/t1 =75km/1.5h = 50km/h

v2 = 0,8v1=40km/h

🤓

Kaenguruh
1 year ago

If he travels 20% slower, he also sets a 20% shorter distance in the same time, as speed and path are proportional, at the same time. v= s:t and s:v = t

These 20% are the 15 Km. 100% are then 5 * 15 km so 75 km.(5 * 20% = 100%). For this route it takes 1.5 h at the initial speed, i.e. v = 75 km:1.5 h = 50 km/h

hologence
1 year ago

chatgpt and Co gave me the wrong answers

already learned something – you can ask the cleaning lady better. AI bots can cuff but don’t think.

W00dp3ckr
1 year ago

Put the equation down and clear it.

W00dp3ckr
1 year ago
Reply to  Hercules2345

If you write it down, you can correct it. That’s better than letting anyone else do that.