A certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10
OA:D
Source:GMATPrep
A certain taxi company charges $3.10
This topic has expert replies
Hi,
Charge for the first 1/5th of the mile = $3.10
Complete ride = 8 mile ; Remaining = 8-1/5 = 39/5 mile
You have 39 (1/5ths) remaining now. Charge for additional 1/5th of a mile = 39*0.40 = $15.60
Total = $3.10 + $15.60 = $18.70
Answer: D
Charge for the first 1/5th of the mile = $3.10
Complete ride = 8 mile ; Remaining = 8-1/5 = 39/5 mile
You have 39 (1/5ths) remaining now. Charge for additional 1/5th of a mile = 39*0.40 = $15.60
Total = $3.10 + $15.60 = $18.70
Answer: D
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There are 8*5 = 40 numbers of 1/5 miles in 8 miles.NandishSS wrote:A certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10
OA:D
Source:GMATPrep
It is given that the first 1/5 mile is charged $3.10, thus 39 numbers of 1/5 mile are charged at the rate of $0.40.
Thus, the total charge = 3.10 + 39*0.40 = $18.70.
OA: D
-Jay
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Hi NandishSS,
The prompt gives us the price per 1/5 of a mile for a taxi ride. It's worth noting that once you travel the first 1/5 of a mile, the price for each additional 1/5 mile is $0.40 - and two pairs of answers choices differ by $0.40, so you have to be careful to make sure that you don't accidentally include (or ignore) one of the $0.40 increments...
An 8-mile trip is forty 1/5-mile increments:
the 1st is $3.10
the remaining 39 are $0.40 each
$3.10 + (39)($0.40) =
$3.10 + $15.60 =
$18.70
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
The prompt gives us the price per 1/5 of a mile for a taxi ride. It's worth noting that once you travel the first 1/5 of a mile, the price for each additional 1/5 mile is $0.40 - and two pairs of answers choices differ by $0.40, so you have to be careful to make sure that you don't accidentally include (or ignore) one of the $0.40 increments...
An 8-mile trip is forty 1/5-mile increments:
the 1st is $3.10
the remaining 39 are $0.40 each
$3.10 + (39)($0.40) =
$3.10 + $15.60 =
$18.70
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
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We know that for the first 1/5 mile of the 8-mile trip, the taxi company charges $3.10. For the next 7 4/5 miles, each 1/5 of a mile will cost $0.40. We need to find out how many 1/5s are in 7 4/5.NandishSS wrote:A certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10
Since 7 4/5 = 39/5, there are 39 1/5s in 7 4/5. Therefore, the total cost of the 8-mile trip would be:
$3.10 + 39($0.40)
$3.10 + $15.60
$18.70
Answer: D
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The trick is converting the problem to the units given. We want fifths of the mile, so 8 miles = 40 fifths of a mile.
From there, our first fifth costs $3.10 and our remaining 39 fifths cost 40¢ each. That gives us a fare of $3.10 + 39*40¢, or $18.70.
From there, our first fifth costs $3.10 and our remaining 39 fifths cost 40¢ each. That gives us a fare of $3.10 + 39*40¢, or $18.70.