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# Jason drives to his parents' house and back home the same way. On the

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Math Expert
Joined: 02 Sep 2009
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Jason drives to his parents' house and back home the same way. On the  [#permalink]

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20 Sep 2016, 07:48
2
1
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Difficulty:

45% (medium)

Question Stats:

68% (02:09) correct 32% (02:10) wrong based on 122 sessions

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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

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Joined: 04 Apr 2015
Posts: 107
Jason drives to his parents' house and back home the same way. On the  [#permalink]

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20 Sep 2016, 09:25
C

since distance will be same we have to just equate D=S x T

on his way to parent's house S-10 x (T+20) since it takes 20 min lobger if he travels 10 km/hr slower.

on his way back S x T.

Just equate these two as distance is same and value of S-10=50 you will get your T
Manager
Joined: 24 Oct 2013
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Location: India
Concentration: General Management, Strategy
WE: Information Technology (Computer Software)
Re: Jason drives to his parents' house and back home the same way. On the  [#permalink]

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20 Sep 2016, 09:31
on simplifying (x-10)(t+20) = xt
20x-10t = 200

x = 50 substituting x = 50, we get 100-20 = t

t = 80

Option B

Correct me if i am wrong
Manager
Joined: 04 Apr 2015
Posts: 107
Re: Jason drives to his parents' house and back home the same way. On the  [#permalink]

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20 Sep 2016, 09:39
x-10 is 50 not x

since 50 is his speed when he goes to his parent's place so on th way back it will be 60
VP
Joined: 07 Dec 2014
Posts: 1114
Jason drives to his parents' house and back home the same way. On the  [#permalink]

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20 Sep 2016, 12:48
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

let t=return time
50(t+1/3)=60t
t=1 2/3 hours=100 minutes
C.
Intern
Joined: 02 Apr 2016
Posts: 10
Re: Jason drives to his parents' house and back home the same way. On the  [#permalink]

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20 Sep 2016, 21:13
C.

50(t+20) = 60t

T=100

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Math Expert
Joined: 02 Aug 2009
Posts: 7036
Re: Jason drives to his parents' house and back home the same way. On the  [#permalink]

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20 Sep 2016, 22:22
Bunuel wrote:
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

Speed on way to parents house 50.... so time taken is x/50 where x is the distance..
On way back it is x/(50+10)=x/60..
So x/50 -x/60 =1/3....x/300=1/3..x=100km...
Time on way back = 100/60 hr or 100*60/60=100 minutes
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Jason drives to his parents' house and back home the same way. On the  [#permalink]

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21 Sep 2016, 18:58
Top Contributor
$$60T = D$$
$$50 * (T+ \frac{1}{3}) = D$$

$$60T = 50T + \frac{50}{3}$$
$$10T = \frac{50}{3}$$
$$T = \frac{5}{3}$$ hours
100 minutes

IMO C
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Joined: 13 Dec 2015
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Location: Pakistan
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Re: Jason drives to his parents' house and back home the same way. On the  [#permalink]

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27 Oct 2018, 11:59
distance is same so
50*t=60(t-20)
t=120
for back from his parents' house
t=100
Re: Jason drives to his parents' house and back home the same way. On the &nbs [#permalink] 27 Oct 2018, 11:59
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