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Tara drove at an average speed of 50 miles per hour for the first 50

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Tara drove at an average speed of 50 miles per hour for the first 50 [#permalink]

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New post 04 Sep 2017, 23:11
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Tara drove at an average speed of 50 miles per hour for the first 50 miles of her trip and then at an average speed of 75 miles per hour for the remaining 50 miles of her trip. If she made no stops during the trip, what was Tara's average speed, in miles per hour, for the entire trip?

(A) 50
(B) 55
(C) 60
(D) 65
(E) 70
[Reveal] Spoiler: OA

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Re: Tara drove at an average speed of 50 miles per hour for the first 50 [#permalink]

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New post 04 Sep 2017, 23:30
sashiim20 wrote:
Tara drove at an average speed of 50 miles per hour for the first 50 miles of her trip and then at an average speed of 75 miles per hour for the remaining 50 miles of her trip. If she made no stops during the trip, what was Tara's average speed, in miles per hour, for the entire trip?

(A) 50
(B) 55
(C) 60
(D) 65
(E) 70


(average speed) = (total distance)/(total time) = \(\frac{50 + 50}{\frac{50}{50} + \frac{50}{75}}=\frac{100}{\frac{5}{3}}=60\).

Answer: C.
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Re: Tara drove at an average speed of 50 miles per hour for the first 50 [#permalink]

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New post 04 Sep 2017, 23:38
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Bunuel wrote:
sashiim20 wrote:
Tara drove at an average speed of 50 miles per hour for the first 50 miles of her trip and then at an average speed of 75 miles per hour for the remaining 50 miles of her trip. If she made no stops during the trip, what was Tara's average speed, in miles per hour, for the entire trip?

(A) 50
(B) 55
(C) 60
(D) 65
(E) 70


(average speed) = (total distance)/(total time) = \(\frac{50 + 50}{\frac{50}{50} + \frac{50}{75}}=\frac{100}{\frac{5}{3}}=60\).

Answer: C.


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Hope it helps.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Tara drove at an average speed of 50 miles per hour for the first 50 [#permalink]

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New post 06 Sep 2017, 03:37
sashiim20 wrote:
Tara drove at an average speed of 50 miles per hour for the first 50 miles of her trip and then at an average speed of 75 miles per hour for the remaining 50 miles of her trip. If she made no stops during the trip, what was Tara's average speed, in miles per hour, for the entire trip?

(A) 50
(B) 55
(C) 60
(D) 65
(E) 70


Either use the total distance/ total time concept

or the Average speed eqn =2V1V2/V1+V2.

So 2*50*75/(50+75)= 60
Ans:C

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Re: Tara drove at an average speed of 50 miles per hour for the first 50 [#permalink]

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New post 11 Sep 2017, 11:05
sashiim20 wrote:
Tara drove at an average speed of 50 miles per hour for the first 50 miles of her trip and then at an average speed of 75 miles per hour for the remaining 50 miles of her trip. If she made no stops during the trip, what was Tara's average speed, in miles per hour, for the entire trip?

(A) 50
(B) 55
(C) 60
(D) 65
(E) 70


We can use the following formula:

average speed = (distance 1 + distance 2)/(time 1 + time 2)

We see that time 1 = 1 hour, time 2 = 50/75 = 2/3 hours, and distance 1 = distance 2 = 50 miles. Thus:

average = (50 + 50 )/(1 + 2/3)

average = 100/(5/3) = 300/5 = 60 mph.

Answer: C
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Re: Tara drove at an average speed of 50 miles per hour for the first 50   [#permalink] 11 Sep 2017, 11:05
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