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Updated on: 13 Aug 2018, 00:17
Originally posted by EgmatQuantExpert on 30 May 2018, 03:35.
Last edited by EgmatQuantExpert on 13 Aug 2018, 00:17, edited 3 times in total.
Last edited by EgmatQuantExpert on 13 Aug 2018, 00:17, edited 3 times in total.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
68% (03:10) correct
32%
(03:13)
wrong
based on 856
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3 Deadly Mistakes You Must Avoid in Time and Work Questions – Practice question 2
Justin runs a car rental business where he rents out cars on a fixed hourly rate. One day Vicky rented a car from Justin for some hours and paid Justin the rent amount $396, which is non-refundable. However, due to some emergency call, Vicky had to pre-empt his job and returned the car 6 hours early – which resulted in an effective extra income of $11 per hour for Justin. For how many hours Vicky originally hired the car?
To solve question 3: Question 3
To read the article: 3 Deadly Mistakes You Must Avoid in Time and Work Questions
Justin runs a car rental business where he rents out cars on a fixed hourly rate. One day Vicky rented a car from Justin for some hours and paid Justin the rent amount $396, which is non-refundable. However, due to some emergency call, Vicky had to pre-empt his job and returned the car 6 hours early – which resulted in an effective extra income of $11 per hour for Justin. For how many hours Vicky originally hired the car?
- A. 11 hours
B. 12 hours
C. 15 hours
D. 18 hours
E. 24 hours
To solve question 3: Question 3
To read the article: 3 Deadly Mistakes You Must Avoid in Time and Work Questions
30 May 2018, 03:55
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EgmatQuantExpert
Let \(x\) be the initial number of hours. Then,
\(\frac{396}{x}+11=\frac{396}{x-6}\) (can be reduced by \(11\)).
\(\frac{36}{x}+1=\frac{36}{x-6}\)
It takes a lot time to solve this equation, so, just put the values and check the above equation. \(x\) must be \(18\).
Answer: D
02 Jun 2018, 11:52
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Solution
Given:
- • Justin runs a car rental business, by renting cars on a fixed hourly rate
• Vicky rented a car from Justin, and paid the whole rent amount of $396, which is non-refundable
• Vicky pre-empt his renting tenure and returned the car 6 hours early – this resulted in an effective profit of $11 per hour for Justin.
To find:
- • Originally for how many hours Vicky rented the car
Approach and Working:
Let us assume that Vicky rented the car originally for t hours
- • Originally per hour earning for Justin = \(\frac{396}{t}\)
- • The new per hour earning for Justin = \(\frac{396}{(t – 6)}\)
• Given that, \(\frac{396}{(t – 6)} – \frac{396}{t} = 11\)
Or, \(36 [\frac{1}{(t – 6)} – \frac{1}{t}] = 1\)
Or, \(36 [t – (t – 6)] = t (t – 6)\)
Or, \(t^2 – 6t – 216 = 0\)
Or, \(t^2 – 18t + 12t – 216 = 0\)
Or, \((t – 18) (t + 12) = 0[\)
Hence, the correct answer is option D.
Answer: D
Important Observation Related to Article
• One does not need to assume two separate variables - for earning per hour and total hours - to solve this question.
• After forming the equations, with the help of options also one can get the answer, if it becomes difficult to solve the equation.
