In x hours and y minutes a car traveled z miles. What is the car's spe

Question

In x hours and y minutes a car traveled z miles. What is the car's speed in miles per hour?

(A) z/(60 + y)

(B) 60z/(60x + y)

(C) 60/(60 + y)

(D) z/(x + y)

(E) (60 + y)/60z

Source:   Nova GMAT  
Difficulty Level:   550

Luckisnoexcuse · Answer

(B) as the total time taken to travel z miles will be (60x + y)/60 and speed = distance/time

hence option B

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pushpitkc · Answer

Since we need the speed of the car in miles/hour we need to convert the time in hours.
x hours and y minutes in hours is
 x +\frac{y}{60} 
=  \frac{60x +y}{60}

Speed is Distance/Time(Here, distance is z)
Speed =  \frac{60z}{{60x +y}}  (Option B)

ShreyansJ · Answer

Time = X hrs and Y minutes or X hrs + Y/60 Hrs or (x+y/60) hrs
Distance = Z
Speed = D/T = Z/(x+y/60) = z/((60x+y)/60) = 60z/(60x+y)
So answer is B

ScottTargetTestPrep · Answer

Let’s convert y minutes to hours.
 
y minutes = y/60 hours.
 
So, the car traveled for x + y/60 = 60x/60 + y/60 = (60x + y)/60 hours.
 
Since rate = distance/time, the rate is z/60x + y)/60 = 60z/(60x + y)
 
Answer: B

quantumliner · Answer

Total Time in hours = x + y/60 = (60x+y)/60
Total Distance in miles = z

Car's Speed in miles per hours = z /   = 60z/(60x+y)

Answer is B

generis · Answer

You can also choose values. I picked small value for x, 30 minutes for y to get a .5, and 9 for z because 9 is a multiple of 4.5

Let x = 4 hours
Let y = 30 minutes
Let z = 9 miles

Time = 4 hours and 30 minutes or 4.5 hours (it does  not  equal x + y -- that would be 34)

The car's speed in miles per hour is D/T, or 9 miles/4.5 hours = 2 miles per hour

Check each answer; the one that yields 2 with the assigned values is correct.

(A) z/(60 + y), without calculation, reject; fraction will be less than 1. Incorrect

(B) 60z/(60x + y), yields (60)(9)/270. Factor out 9 from numerator/denominator. 60/30 = 2 miles per hour. Correct.

(C) 60/(60 + y) - without calculating, reject; fraction will be less than 1. Incorrect.

(D) z/(x + y) - without calculating, reject. It's less than 1. It's the trap answer here, though. It yields 9/34, but would yield 9/4.5 if you mistakenly put  converted  y in. Incorrect.

(E) (60 + y)/60z - without calculating, reject. z is bigger than y; the denominator will be huge, the fraction, less than 1. Incorrect.

Answer B

Mkrishnabdrr · Answer

Rate=Dist/time
R=z/(x+y/60)
=60z/(60x+y)
Hence, B

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In x hours and y minutes a car traveled z miles. What is the car's spe

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In x hours and y minutes a car traveled z miles. What is the car's spe

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