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15 Jun 2017, 02:44
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
85% (02:27) correct
15%
(02:43)
wrong
based on 428
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Cecile commutes from her home to her office by either driving her car or riding her bike. If she drives, she covers one mile in 4 minutes and and if she rides her bike she cover one mile in 9 minutes. If it takes her 30 minutes longer to ride her bike from her home to her office than to drive, how far is the distance from her home to her office?
A. 5 miles
B. 6 miles
C. 8 miles
D. 9 miles
E. 12 miles
A. 5 miles
B. 6 miles
C. 8 miles
D. 9 miles
E. 12 miles
sashiim20
Joined: 04 Dec 2015
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Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
Posts: 608
15 Jun 2017, 02:55
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Bunuel
Let Distance be D.
Speed of car = \(\frac{1}{4}\) miles/min
Let Time taken by car = t
Speed of bike = \(\frac{1}{9}\) miles/min
Time taken by bike = 30 mins longer than time taken by car = t + 30
\(D = \frac{1}{4} * t\) -------- (i)
\(D = \frac{1}{9}* (t + 30)\) ------------- (ii)
Equating (i) and (ii), we get;
\(\frac{1}{4} * t = \frac{1}{9} * (t + 30)\)
\(\frac{t}{4} = \frac{(t + 30)}{9}\)
\(9t = 4t + 120\)
\(5t = 120\)
\(t = 24\)
Substituting value of t in (i), we get;
\(D = \frac{1}{4} * 24 = 6 miles\).
Answer (B)
