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Bunuel
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JerryAtDreamScore
Bunuel
Jason drives to his parents' house and back home the same way. On the way to his parents' house, his speed is 10 kilometers per hour slower than his speed on his way back, and therefore it takes him 20 minutes longer. If Jason drives to his parents' house at 50 kilometers per hour, how many minutes does he spend on his way back from his parents' house?

A. 60
B. 80
C. 100
D. 120
E. 150

Breaking Down the Info:

We know Jason drives at 50 km/h to his parents' house and 40 km/h on the way back. Set the amount of time it took as t in minutes, and we would have:

\(50 * t = 40 * (t + 20)\)

Then \(t = 80\), so it took 80 + 20 = 100 min to get back.

Note that the units on either side do not cooperate in the equation, but this doesn't create any problems as we are using the same units on both sides.

Answer: C

it seems that there are so many issues in your approach.
1. the speed back is 10 kmph more = 60 kmph
2. if you add 20, which is in minutes, then you should convert the speed in kmph to kmpm
3. when you take t as the time to go parents home, then finally 20 minutes should be reduced as the return is faster.
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ConnorChen
The correct answer should be B!
Just double check the information given. Don't get confused by the two speeds.

The answer will be C itself but yes, as you have pointed out, the calculations are given wrong in the solution by JerryAtDreamScore
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50 * (t+1/3) = 60 t

t = 100 mins
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Bunuel
Jason drives to his parents' house and back home the same way. On the way to his parents' house, his speed is 10 kilometers per hour slower than his speed on his way back, and therefore it takes him 20 minutes longer. If Jason drives to his parents' house at 50 kilometers per hour, how many minutes does he spend on his way back from his parents' house?

A. 60
B. 80
C. 100
D. 120
E. 150

He drives to his parents house at 50kph, which is \(\frac{5}{6}\)kpminute. That is 10kph slower than the speed on the way back, so the speed on the way back is 60kph, which is 1kpminute.

Time spent driving back is m minutes. Times spent driving there is m+20 minutes.

Distance going is \(\frac{5}{6}(m+20)\). Distance returning is \(1m\)

Distance going = distance returning.

\(\frac{5}{6}(m+20) = m\)

\(\frac{5}{6}m+\frac{100}{6} = m\)

\(\frac{100}{6} = \frac{m}{6}\)

m=100

Answer choice C.
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