Cerenity and Jas rented a jet ski for an afternoon. The rental fee for

Question

Cerenity and Jas rented a jet ski for an afternoon. The rental fee for the first hour is more than for each additional hour. If Cerenity and Jas paid $16.50 when they returned the jet ski, for how many hours did they rent the jet ski?

(1) Cerenity and Jas paid $10.50 for the first 2 hours.
(2) Cerenity and Jas paid $9.00 for the last 3 hours.

(1) Cerenity and Jas paid $10.50 for the first 2 hours.
(2) Cerenity and Jas paid $9.00 for the last 3 hours.

D3N0 · Answer

Ans: C

lets say for first hour the rate is x and for additional hours rate is y (per hr) and given x>y
also given x+ty= 16.50 where (t+1) will be the total time for which they rented the ski.
(Edited after pointed out by @Priyanka8793)
stat 1: for first two hrs x+y=10.50 but we dont know the value of x and y (Not Suffi)

stat 2: 3y = 9 here we know the y but not the x (not Suffi)
Detailed: as it is calculated that for additional hours rate is $3/hr. after deducting the charge for the last three hour ride we are left with $7.50 from $16.50 given in question stem.
Possibility 1) first hour price is $7.50 and rest 3 hrs total $9 = $16.50 for 4 hrs
Possibility 2) first hour price is $4.5 and rest 4 hrs = $12 = $16.50 for 5 hrs. 
B alone not sufficient..

together we can find x and y and then put it in the given (x+ty to get the t) thus we can get the t+1 (suffi)

Ans: C

Priyanka8793 · Answer

But the second stmt says ladt 3 hours,do y did u count the first hour in it. It is the value of ty not x+ty.

Posted from my mobile device

D3N0 · Answer

Right I missed that ... I need to change

Thanks for the help..

gmatasp12 · Answer

Statement 1: 10.50 $ for first two hours
Not Sufficient

Statement 2: 9$ for last 3 hours
16.50-9 = 7.50$, which can be divided into two hours (3$ and 4.5$)
as rent for first hour is more than the additional hours. 
Sufficient

D3N0 · Answer

Option one from Statement 2: as it is calculated that for additional hours rate is $3/hr. and from your solution we are left with $7.50. 
Possibility 1) first hour price is $7.50 and rest 3 hrs total $9 = $16.50 for 4 hrs
Possibility 2) first hour price is $4.5 and rest 4 hrs = $12 = $16.50 for 5 hrs. 
 B alone not sufficient..

GMATinsight · Answer

Total Rental = First hour + (New Hourly Rent X No. of hours in excess of first hour) = x + yt

Question: Time of rental = t+1?

Statement 1  : Cerenity and Jas paid $10.50 for the first 2 hours.
x+y = 10.5
but since y is unknown hence
 NOT SUFFICIENT

Statement 2  : Cerenity and Jas paid $9.00 for the last 3 hours.
It is possible that it was rented for 3 hours which will mean x+2y = 9 but
there is possible case that it was rented for more than 3 hours, which will mean 3y = 9 hence
 NOT SUFFICIENT

Combining the statements

Since the first hour rental is greater than each additionali.e. x > y
so we can deduce that $9 for last 3 hours does NOT include the first hour because as per first statement the rental for first two hours was $10.5
hence
x+y = 10.5 and
3y = 9
i.e. y = 3 and x = 7.5
and time of rental = 4 hours because x+3y = 16.5
  SUFFICIENT

Answer: Option C

Cerenity and Jas rented a jet ski for an afternoon. The rental fee for

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Cerenity and Jas rented a jet ski for an afternoon. The rental fee for

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