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Tom and Harry hired cabs and were charged at the rate of $0.2 and $0.1
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11 Apr 2023, 00:21
11 Apr 2023, 00:21
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Tom and Harry hired cabs and were charged at the rate of $0.2 and $0.1 per mile respectively. Tom paid a bill of $23 and Harry paid $25. Find the difference between the distance travelled by them?
(Note : no other cost involved.)
135
175
190
200
210
(Note : no other cost involved.)
135
175
190
200
210
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: Tom and Harry hired cabs and were charged at the rate of $0.2 and $0.1
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15 Apr 2023, 21:08
15 Apr 2023, 21:08
1
Expert Reply
Let's denote the distance traveled by Tom as "d" miles, and the distance traveled by Harry as "h" miles.
Given that Tom was charged at a rate of $0.2 per mile and his total bill was $23, we can set up the following equation:
0.2d = 23
Similarly, since Harry was charged at a rate of $0.1 per mile and his total bill was $25, we can set up the following equation:
0.1h = 25
We can solve these two equations to find the values of "d" and "h".
0.2d = 23
d = 23 / 0.2
d = 115
So, Tom traveled a distance of 115 miles.
0.1h = 25
h = 25 / 0.1
h = 250
So, Harry traveled a distance of 250 miles.
Now, we can find the difference between the distances traveled by Tom and Harry:
Difference = Distance traveled by Tom - Distance traveled by Harry
Difference = 115 - 250
Difference = -135
So, the correct answer is -135 miles. However, since distance cannot be negative, we can take the absolute value of the difference to get the final answer:
Absolute value of -135 = 135
Therefore, the difference between the distances traveled by Tom and Harry is 135 miles.
Given that Tom was charged at a rate of $0.2 per mile and his total bill was $23, we can set up the following equation:
0.2d = 23
Similarly, since Harry was charged at a rate of $0.1 per mile and his total bill was $25, we can set up the following equation:
0.1h = 25
We can solve these two equations to find the values of "d" and "h".
0.2d = 23
d = 23 / 0.2
d = 115
So, Tom traveled a distance of 115 miles.
0.1h = 25
h = 25 / 0.1
h = 250
So, Harry traveled a distance of 250 miles.
Now, we can find the difference between the distances traveled by Tom and Harry:
Difference = Distance traveled by Tom - Distance traveled by Harry
Difference = 115 - 250
Difference = -135
So, the correct answer is -135 miles. However, since distance cannot be negative, we can take the absolute value of the difference to get the final answer:
Absolute value of -135 = 135
Therefore, the difference between the distances traveled by Tom and Harry is 135 miles.
gmatclubot
Re: Tom and Harry hired cabs and were charged at the rate of $0.2 and $0.1 [#permalink]
15 Apr 2023, 21:08
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